Graph.
f(x)=2|x+2|+1
Use the Ray tool to graph the absolute value function.
Answers
We can use the Ray tool to graph the absolute value function f(x) = 2|x+2| + 1, which helps us visualize the function by plotting specific points on the coordinate plane.
1. Begin by understanding the structure of the absolute value function f(x) = |x|. The absolute value function takes any input x and returns the positive value of x, making it symmetric concerning the y-axis.
2. In the given function f(x) = 2|x+2| + 1, the "2" in front of the absolute value affects the vertical scale, while the "+2" inside the absolute value causes a horizontal shift of 2 units to the left.
3. Start plotting points on the coordinate plane. To determine the behavior of the graph, consider a few x-values.
- When x = -4, we have f(-4) = 2|-4+2| + 1 = 2| -2| + 1 = 2(2) + 1 = 4 + 1 = 5. So, we have the point (-4, 5).
- When x = -2, we have f(-2) = 2|-2+2| + 1 = 2| 0| + 1 = 2(0) + 1 = 1. So, we have the point (-2, 1).
- When x = -1, we have f(-1) = 2|-1+2| + 1 = 2| 1| + 1 = 2(1) + 1 = 3. So, we have the point (-1, 3).
- When x = 0, we have f(0) = 2|0+2| + 1 = 2| 2| + 1 = 2(2) + 1 = 5. So, we have the point (0, 5).
- Continue this process for other values of x to obtain more points.
4. Plot all the points on the graph and connect them smoothly. Remember to maintain symmetry concerning the y-axis due to the absolute value function.
5. The resulting graph will have a "V" shape, with the vertex at the point (-2, 1). The line will extend upward on both sides, following a steep slope with a vertical stretch of 2.
6. Label the axes and any other relevant points to complete the graph.
By following these steps and utilizing the Ray tool, you can accurately graph the given absolute value function f(x) = 2|x+2| + 1.
For more such questions on graph, click on:
https://brainly.com/question/19040584
#SPJ8
Related Questions
There are 20 students
12 are boys
what fraction are boys
Answers
Answer:
This will be 12/20
Step-by-step explanation:
You take the number of favourable outcomes (12, as there are 12 boys) and take the number of total outcomes (20, as there are 20 people in total). Then you do the number of favourable outcomes over the number of total outcomes. This equals 12/20. I hope this helps
A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
The fraction for boys out of 20 students is 3/5.
What is a fraction?A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
Example: 2/3, 5/7, 1/3
We have,
Total number of students = 20
Number of boys = 12
The fraction of the boys is:
= Number of boys / Total number of students
= 12 / 20
We can write along with its common factors.
= 2 x 6 / 2 x 10
Common values are canceled out from the numerator and the denominator.
= 6 / 10
We can write it as along with its common factor.
= 2 x 3 / 2 x 5
Common factors are canceled out from the numerator and the denominator.
= 3/ 5
Thus the fraction for boys out of 20 students is 3/5.
Learn more about fractions here:
brainly.com/question/1627825
#SPJ2
Identify the domain of the function shown in the graph
Answers
Answer:
a
Step-by-step explanation:
Jason use 65 books in 1 month .How many will he use in 7 days?
Answers
Answer:
16.25 books
Step-by-step explanation:
assuming there are 4 weeks in a month, divide 65 by 4.
Answer:
16 or 16.25
Step-by-step explanation:
You might have to round idek if you meant read or used so
Given that
x
= 7.7 m and
θ
= 52°, work out AC rounded to 3 SF.
Answers
Answer:
The answer is 12.5cm
Step-by-step explanation:
cos 52= 7.7/AC
AC= 7.7/ cos 52
AC= 12.5
How many solutions does the equation
10-3x+10x-7=5x-5+2x+8 have?
Answers
What is the equation of the circle in center - radius form: x² + y2 + 12x -107 -7 = 0?
(x +12)2 + (y - 25)2 = 68
(x +6)2 + (y - 5)2 = 61
(x - 6)2 + (y + 5)2 = 68
(x +6)2 + (y - 5)2 = 68
Please help will give BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x^2+y^2+12x-10y-7=0[/tex]
And we would like to convert this to an equation for a circle.
This will require completing the square. Thus, let’s factor group our factors. We will also move the constant to the right. Therefore:
[tex](x^2+12x)+(y^2-10y)=7[/tex]
To complete the square, we divide the b term by 2, square it, and then add the resulting constant to both sides.
Therefore, for the first term, we will have 12/2. 12/2 is 6. 6 squared is 36.
Hence, we would add 36 to both sides.
For the second term, we have -10/2. -10/2 is 5. 5 squared is 25. Hence, we would add 25 to both sides.
This yields:
[tex](x^2+12x+36)+(y^2-10y+25)=7+36+25[/tex]
We can now factor the two terms using the perfect square trinomial pattern. We will also add on the right. Hence, our equation is:
[tex](x+6)^2+(y-5)^2=68[/tex]
Therefore, our answer is D.
Which of the following inequalities matches the graph? (1 point)
graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line
The correct inequality is not listed.
5x + y greater than or equal to 1
5x + y less than or equal to 1
5x − y greater than or equal to 1
Answers
Answer:
Answer is D 5x-y>= 1 :)
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
1.
Is the following statement a good definition? Why?
An integer is divisible by 100 if and only if its last two digits are zeros.
Answers
Answer:
It is, because it is clear and true. It also gets straight to the point.
Step-by-step explanation:
if f(x)=2x^2-3x+9, then calculate f(8)
Answers
Answer:
f(8)= 113
Step-by-step explanation:
f(8)= 2(8)^2-3(8)+9
f(8)= 2(64)-3(8)+9
f(8)= 128-24+9
f(8)= 113
(USE PEMDAS)
Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.
Answers
Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = [tex]\sqrt{80}[/tex]
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
Which form of the quadratic equation would be the BEST to use when needing to identify the x-Intercept(s) of a parabola?
A) Vertex Form
B) Factored Form
C) Linear Form
D) Standard Form
Answers
Which of the following statements is INCORRECT?
A. FE = 58
B. DE = 58
C. x = 8
D. DF = 40
Answers
Given:
In figure, ΔDEF has two equal angles ∠E and ∠F.
[tex]DE=40,EF=6x+10,DF=8x-24[/tex]
To find:
The incorrect statement from the given options.
Solution:
In triangle DEF,
[tex]\angle E=\angle F[/tex] (Given)
[tex]DF=DE[/tex] (Base angles are equal, so it is an isosceles triangle)
[tex]8x-24=40[/tex]
[tex]8x=40+24[/tex]
[tex]8x=64[/tex]
Divide both sides by 8.
[tex]x=8[/tex]
Now,
[tex]DE=DF=40[/tex] (Isosceles triangle)
[tex]EF=6x+10[/tex]
[tex]EF=6(8)+10[/tex]
[tex]EF=48+10[/tex]
[tex]EF=58[/tex]
Therefore, x=8, FE=58, DE =40 and DF = 40.
Hence, the incorrect statement is in option B. So, option B is correct.
An isosceles triangle has two equal opposites sides
The correct statements are
A. FE = 58
A. FE = 58C. x = 8
A. FE = 58C. x = 8D. DF = 40
incorrect statement is
B. DE = 58
Given:
Side DE = 40
Side FE = 6x + 10
Side DF = 8x - 24
Recall,
DF = DE
8x - 24 = 40
8x = 40 + 24
8x = 64
x = 64 / 8
x = 8
Therefore,
Side FE = 6x + 10
= 6(8) + 10
= 48 + 10
= 58
Side DF = 8x - 24
= 8(8) - 24
= 64 - 24
= 40
Read more:
https://brainly.com/question/13664166
What foal birth weight would you predict using the least squares equation for a mare that weighs 520 kg?
Answers
Answer:
520
Step-by-step explanation:
Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.
40
17
15
42
52
67
65
14
Answers
Answer:
The possible lengths of TR : TR = 17, 40, 42, 52,
Step-by-step explanation:
Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.
To find the possible lengths of the third side of a triangle:
c - a< b > a + c
a = WT = 25
c = WR= 40
b = TR = ??
40 - 25 < b < 40 + 25
15 < b < 65
The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,
Help pls and thank you
Answers
Answer:
yes they are congruent because they have the same size and shape
Step-by-step explanation:
stop stealing peoples points bruh
Why did the donkey get a passport ?
Answers
Answer:
So he could become a travel burro.
Step-by-step explanation:
The solution to some of the algebraic expressions in the excerpt titled "Why did the donkey get a passport?" is 8x² - 3x + 17 and 2x² + 9x + 3
Why did the donkey get a passport is a title for a series of algebraic expressions that need to be solved.
What is an algebraic expression?An algebraic expression is a mathematical expression that comprises integers, variables, and arithmetic operations.
In the title "Why did the donkey get a passport?", we have some of the following questions:
8x² + 2x - 5x + 17 4 - 3x² - 9x - 7 + x²Simplifying the algebraic expressions, we have:
1.
8x² + 2x - 5x + 17
8x² - 3x + 17
2.
4 - 3x² - 9x - 7 + x²
By rearrangement
x² - 3x² - 9x -7 + 4
-2x² - 9x - 3
Multiply through by (-)
2x² + 9x + 3
Learn more about solving algebraic expressions here:
https://brainly.com/question/4344214
#SPJ2
Are these quanities dirctly proportional?
Distance and Time it takes to cover it, if a car moves with the same speed.
Plz Help Me
Answer Yes or No
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
When distance and time are both zero at once, and speed is constant, then distance and time are proportional:
distance = speed × time
The constant of proportionality is the (constant) speed.
Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
Answers
Answer:
54
Step-by-step explanation:
Mike saves $36 by buying the shirts at a discounted price.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Given the offer,
By 1 at regular price ($45) and get 40% off on two shirt
40 % of 45 ⇒ 0.40 × 45 = $18
So shirt price = 45 - 18 = $27/each
Since 2 shirt buy at this price = 2 × 27 = $54
Money saved = 2×45 - 54 = $36
Hence "Mike saves $36 by buying the shirts at a discounted price".
For more about the percentage,
brainly.com/question/13450942
#SPJ6
Given question is incomplete complete question is ;
Which axis is the vertical (up-down) one?
Answers
Answer:
y is the vertical, x is the horizontal
what are you doing for Christmas?
Answers
I'm probably doing nothing...
I might visit my grandparents tho because they recently moved near by
thanks for the points
Answer:
I might go see my cousins in a different state and most likely play with the snow out there!!
Step-by-step explanation:
What is the value of the function y = 2x + 3 when x=−1?
5
2
1
−5
Answers
The Correct Answer is; {C} 1
I took the test.
Which rational exponent represents a square root?
A. 1 / 2
B. 3/2
C. 1/3
D. 1/4
Answers
Answer:
1/2 rational exponent represents a square root.
Therefore, option A is correct.
Step-by-step explanation:
As we know that raising to the one-half power i.e. [tex]\frac{1}{2}[/tex] is the same
as taking the square root.
so [tex]x^{\frac{1}{2}}[/tex] is the same as the square root of [tex]x[/tex].For example, taking the square root of 4 will determine:
[tex]4^{\frac{1}{2}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:4=2^2[/tex]
[tex]4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}[/tex]
so the expression becomes
[tex]4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}[/tex]
[tex]=2^1[/tex]
[tex]=2[/tex] ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]
so, 1/2 rational exponent represents a square root.
Therefore, option A is correct.
Answer: A.) 1/2 is the correct answer
Step-by-step explanation:
. If y varies directly with x when y = -4 and x = 10, determine y when x = 2. Write and equation for the direct variation and determine the value.
Answers
Answer:
y = - 0.8
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when y = - 4, x = 10, then
- 4 = 10k ( divide both sides by 10 )
- 0.4 = k
y = - 0.4x ← equation of variation
When x = 2 , then
y = - 0.4 × 2 = - 0.8
HELP PLEASE!!
“I think of a number, double it, and add twelve. My answer is 54.” What number am I thinking of?
Answers
Answer:
21
Step-by-step explanation:
21 + 21 = 42
42 + 12 = 54
so 21 is your answer
Answer:
21.
Step-by-step explanation:
For questions like this, it's easiest to work your way backwards from the answer to get the original number.
In this case, you subtract 12 from 54, which gives you 42 (54-12=41)
Then, you divide by 2, the opposite of "doubling". 42 ÷ 2 = 21.
Since there are no other operations, your original number is 21.
To confirm, just go through the problem again starting with 21 and seeing if you get to 54.
21, doubled (42), add 12 = 54.
What is the value of X when solving the equation -2x+(-8)=2x+8
Answers
Answer: X=-4
Step-by-step explanation:
If there are 52 calories in one chicken nugget and 39 calories in one waffle fry, write an expression to represent the total number of calories consumed if you eat c chicken nuggets and w waffle fries. Next, find out total number of calories consumed if you ate 5 chicken nuggets and 10 waffle fries.
Answers
Plug in 5 for c and 10 for w
52(5) + 39(10) = 260 + 390 = 650 calories
Multiply calories per nugget by number of nuggets and add to calories per waffle multiplied by number of waffles:
Total calories = 52c + 39w
Now replace the variables with the quantities and find total calories:
Total = 52(5) + 39(10)
Total = 260 + 390
Total = 650 calories
how to solve this problem by finding x
Answers
Answer:
X=140
Step-by-step explanation:
Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees
The attachment you are showing us shows that we already know two angles
(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360.
X+70+60+90=360
X=360-70-60-90
X=140
can anyone answer this?
can anyone answer this
7th grade help me plzzzzz
Answers
Answer:
fifteen, "number sentence"
Step-by-step explanation:
5 + 5 +5 = 15
2
What is the slope of the line y = 3-2/3x
Answers
Answer:
the slope is -3
Step-by-step explanation:
Ari stocks shelves at a grocery store. He
puts 35 cans of juice in each display case.
The case has 4 shelves with an equal
number of cans, and one shelf with only
cans. How many cans are on each of the
Equal shelves?