the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)
Answers
Answer:
Option (C)
Step-by-step explanation:
Quadratic parent function has been given as,
f(x) = x²
If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',
g(x) = -kx²
This quadratic function passes through a point (1, -4),
g(1) = -k(1)²
-4 = -k
k = 4
Therefore, the new function after transformation will be,
g(x) = -4x²
Option (C) will be the correct option.
The function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
Given that,
The function g(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
We have to determine,
What function is g(x)?
According to the question,
The function f(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',
Then, The function g(x) is,
[tex]\rm g(x) = -kx^2[/tex]
Therefore,
The quadratic equation passes through the point (1,4),
[tex]\rm g(x) = -kx^2\\\\g(1) = -k(1)^2\\\\-4 = -k\\\\k= 4[/tex]
Therefore,
The function g(x) is,
[tex]\rm g(x) = -kx^2\\\\g(x) = -4x^2[/tex]
Hence, The required function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/411998
Related Questions
work through these two problems 1)7-?=3.4567 and 2)6.9999-?=3.4567
how can problem 2 help you solve problems1?
Answers
Answer:
Give students up to 1 minute to think about the first question and then ask them to ... The first two problems aim to help students
Step-by-step explanation:
Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.
AlternativeText
Figure ABCD is translated
unit(s) right and
unit(s) up.
Answers
Answer:
Is Figure A'B'C'D' a translation of Figure ABCD? Explain. Yes; it is translated 2 units left and 2 units up.
Step-by-step explanation:
y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?
Answers
Answer:
x=3 /
steps: (For x)
Turn the equation into --> -x+1 = 2/3x-4
Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12
Now arrange the terms to where variables are on a side and constants are on a side
it should look like --> -3×-2x=-12-3
Now combine like terms --> -5x=-15
finally just divide by -5 on both sides
x=3
For y:
substitute X for either of the equations
y=2/3 x 3-4
y=-2
The solution is (3,-2)
(x - 3y)(2x + 7y)
What is the answer?
Answers
Answer:
Your answer is: 2x^2+xy-21y^2
Step-by-step explanation:
Hope this helped : )
Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements. The rule is (x, y) arrowright parenleftzex − , y + parenrightze. The coordinates are Y′parenleftze, parenrightze and Z′parenleftze, parenrightze.
Answers
Answer:
The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.
Step-by-step explanation:
A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:
[tex]X(x,y) +U(x,y) = X'(x,y)[/tex] (Eq. 1)
Where:
[tex]X(x, y)[/tex] - Initial point on the cartesian plane, dimensionless.
[tex]X'(x, y)[/tex] - Translated point on the cartesian plane, dimensionless.
[tex]U(x, y)[/tex] - Translation component, dimensionless.
Vectorially speaking, we find that translation component is:
[tex]U(x, y) = X'(x,y) -X(x,y)[/tex]
If we know that [tex]X(x,y) = (8, -2.3)[/tex] and [tex]X'(x,y) = (3.8, -0.3)[/tex], the translation component is:
[tex]U(x,y) = (3.8,-0.3)-(8,-2.3)[/tex]
[tex]U(x,y) = (3.8-8, -0.3+2.3)[/tex]
[tex]U(x,y) = (-4.2, 2)[/tex]
Now we determine the coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex]:
([tex]Y(x,y) = (6.5, 5)[/tex], [tex]Z(x,y) = (6,3)[/tex])
[tex]Y'(x,y) = Y(x,y) + U(x,y)[/tex] (Eq. 2)
[tex]Y'(x,y)=(6.5, 5) + (-4.2, 2)[/tex]
[tex]Y'(x,y) = (2.3, 7)[/tex]
[tex]Z'(x,y) = Z(x,y) + U(x,y)[/tex] (Eq. 3)
[tex]Z'(x,y) = (6,3)+(-4.2,2)[/tex]
[tex]Z'(x,y) = (1.8, 5)[/tex]
The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.
What is the slope of this line
Answers
Answer:
if I'm right 8,1 okkkkkk
Answer:
use y=mx + or - b to solve!
Step-by-step explanation:
Way to go!
With that you should get (8,1)
PLEASE HELP ME ima dumb and really bad at math :(((( !!
Answers
Answer:
-27,0
Step-by-step explanation:
I think, not entirely sure tho.
i need help for this still
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.
2 Mrs. Scott purchased pizzas for her homeroom
students for winning the door decorating contest.
She purchased 3 pizzas and spent a total of $29.85.
How much did each pizza cost?
Answers
Answer:
9.95 per pizza
Step-by-step explanation:
i googled it :)
Answer:
9.95 per pizza
Step-by-step explanation:
just divid it
What is the sum of all the positive integers from
√
24
to
√
102
?
Answers
Answer:
The sum of all positive integers is
5 + 6 + 7 + 8 + 9 + 10
= 45
Step-by-step explanation:
Because [tex]\sqrt{24} = 4.89[/tex] and [tex]\sqrt{102} = 10.09[/tex]
So positive numbers between 4.9 and 10.09 are
5+6+7+8+9+10 = 45
Brainliest will be appreciated.
The measure of c is ???
Answers
Explanation:
this is using the pythagorean theorem: a^2 + b^2 = c^2. c is always the hypotenuse (longest side) of the triangle.
so plugging in the numbers: 9^2 + 6^2 = c^2.
solving: 81 + 36 = c^2
117 = c^2
now to solve for c^2, we can take the square root of both sides: sqrt(117) = c
to simplify the square root, we can factor it. 117 can be divided into 13 * 9. (I just tried numbers given in the options)
so c = sqrt(13 * 9)
9 can be factored into 3 * 3
c = sqrt(13 * 3 * 3)
since we have two 3’s, that can be taken out of the square root to get:
c = 3*sqrt(13)
the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole
Answers
2.5%
Step-by-step explanation:[tex]if\ the\ art-rice\ of\ pen\ is\ x\\ so\ the\ toux\ is\ 8v-x\\ then\ (80-x)\bullet1\bullet1-a9\bulletx=28\\ so\ x=30.\\ So\ the\ selling\ price\ of\ box\ is\ RS.5\\ the\ selling\ price\ of\ pen\ is\ R527\\ R55+R_27=R8.2\\ so\ profit\ percent=\frac{R882-R830}{280-}\times100\ percent=2.5\ percent\\ (figure\ out\ their\ individual\ oosts)[/tex]
I hope this helps you
:)
what is it in simplist form 4/15+1/9
Answers
4/15 + 1/9 = 12/45 + 5/45 = 17/45
For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup
Answers
Answer:
a) 2/3
b) 80 cups
c) 1/3
d) 40 cups
Step-by-step explanation:
Fraction of a full dispenser = 1
a. About what fraction of the cup is filled with liquid
= 1 - 1/3
= 2/3
b. About how many cups of liqiud are in the dispenser
We have 120 cups.of liquid that the dispenser contains
Hence,
= 2/3 × 120
= 2 × 40
= 80 cups
c. About what fraction of the dispenser is empty
= 1 - Fraction of liquid currently in the dispenser
= 1 - 2/3
= 1/3
d. About how many more cups of liquid does it take to fill the cup
= 1/3 × 120
= 40 cups
It will take 40 cups to fill the dispenser
Fluency:
Solve the equation
x + 24= 36 x=?
Answers
Answer:
x=12
Step-by-step explanation:
36-24=12
find the next three terms in the arithmetic sequence: -3, -8, -13, -18
Answers
Answer:
-23
Step-by-step explanation:
Common difference = 2nd term - 1 st term
= -8 - (-3)
= -8 + 3
= -5
To get the next term add (-5) to the previous term
5th term = (-18) + ( (-5) = -23
x²-x is divisible by 2
Answers
Answer:
3
Step-by-step explanation:
2²-2÷2
4-2÷2
=3
hope this helps
In parallelogram EFGH, what is the relationship between angle e and angle f?
e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°
Answers
Answer:
=> e° + f° = 180°
Step-by-step explanation:
we know. that this is a parallelogram .
e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}
Answer:the answer is e° + f° = 180°
Step-by-step explanation:
I got it right
Write an equation of the line in slope-intercept form.
slope = 3, y-intercept = -4
Answers
Don't scroll!! 40 points for whoever helps me!! T-T
A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.
Answers
Answer: 200ft
half
Step-by-step explanation for the question i don't know: I don't have the true answer but would it be half...? nvm lol
Answer:
[tex]\huge\boxed{\frac{44}{9} \ \text{feet}}[/tex]
Step-by-step explanation:
If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.
Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as [tex]\frac{\text{original}}{\text{shadow}}[/tex].
[tex]\frac{54}{48}=\frac{5.5}{x}[/tex]
We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.
We can solve for x by cross multiplying.
[tex]48 \cdot 5.5=264[/tex]
[tex]264 \div 54 = \frac{264}{54}[/tex]
We can simplify this fraction by dividing the numerator/denominator by 6.
[tex]264 \div 6 = 44\\54\div6=9[/tex]
[tex]\frac{44}{9}[/tex]
So Mindy's shadow is [tex]\frac{44}{9}[/tex] feet long.
Hope this helped!
What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?
Answers
Answer:
x int: -5
y int: -2
Step-by-step explanation:
Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2
Plug in 0 for y to find x intercept 6x + 15(0) = -30 then you would get 6x = -30. Divide 6 on both sides. x = -5
NEED HELP! will give brainiest!!
Answers
Answer: 62999
Step-by-step explanation: sorry if wrong
A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales
Answers
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
how do you explain division in an easy way?
Answers
Which inequality is equivalent to −y<7?
A). Y < 7
B). Y > 7
C). Y > -7
D). Y < -7
Answers
Answer:
C) Y > -7
-Y < 7 given
0 < 7 + Y add Y to both sides
-7 < Y subtract 7 from both sides
Kevin, the pharmaceutical salesman, receives
$510 per month base pay plus 6% commission.
In 2 months, after touring a metropolitan area,
He had sold $260,000 in pharmaceuticals.
How much did he make in the two-month period?
Answers
Answer:
16,620
Step-by-step explanation:
so we have 510(2 months)+(260,000x0.06%) = 16,620
please mark as brianlest.
What is the result of x + 2x - 6 = 21?
Answers
Answer:
9
Step-by-step explanation:
x + 2x - 6 = 21
3x - 6 = 21 /+6
3x = 27 /:3
x = 9
Answer:
x = 9
Step-by-step explanation:
Hope that helps!
Two fifth of a certain number is 30 what is the number?
Answers
- - - - - - - - - - - - - - - - - - - - - - - -
Beginning with an "If-then" statement ⇣
If 2/5 = 30 then 1/5 = 15
Now we have 1/5, let's make it 1 by multiplying x5.
15 x 5 = 75
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
Decrease #40.00 by 5%
Answers
Answer:
Step-by-step explanation:
its 38
After reducing the given number 40.00 by 5%, the reduced number is, 38
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The number, 40.00
After reducing it by 5% = ?
5 = (x/40)×100
x = 2
5% of 40 is 2,
So subtracting it from 40
After decreasing it by 5%
The number = 40-2
= 38
Hence, the number is 38
To know more about Percentage check:
https://brainly.com/question/29306119
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The measure of the angles of a triangle are shown in the figure below . Solve for x
Answers
Answer:
x = 49°
Step-by-step explanation:
Hello! The sum of all angles in a triangle is 180°
64 + 67 = 131
180 - 131 will give you x
180 - 131 = 49° = x
If you need further explanation, let me know!
- profparis