describe how to obtain the graph of g from the graph of f(x) =
[tex] \sqrt{x} [/tex]
![Describe How To Obtain The Graph Of G From The Graph Of F(x) = [tex] \sqrt{x} [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/TRxDlxkJxfZzIvzfQfmhtMdTfpzc0hcW.jpeg)
Answers
Problem 7
Consider the general template
g(x) = a*sqrt(x-h) + k
and compare it to the general parent function
f(x) = sqrt(x)
We have the following variables: a, h and k
They are defined as such:
a = handles the vertical stretch and if any reflections occur. If a > 0, then the curve goes upward; if a < 0, then the curve goes downward. Going from positive to negative, or vice versa, is a reflection over the x axis.h = handles the left and right shift. If h > 0, then you shift right. If h < 0, then you shift left.k = handles the up and down shifting. If k > 0, then you shift up. If k < 0, then you shift down.For this problem, we have
a = 1h = -4k = 3Since g(x) = sqrt(x+4)+3 is the same as g(x) = 1*sqrt(x - (-4)) + 3
With a = 1, we know that the curve moves upward. Compared to the parent graph y = sqrt(x), which also goes upward, no reflection has been done over the x axis.
The h = -4 means we shift 4 units to the left
The k = 3 means we shift 3 units up
Answer: Shift the parent function 4 units to the left and 3 units up=====================================================
Problem 8
We'll use the ideas mentioned in problem 7. They'll also be used for problems 9 and 10 as well.
For problem 8, we have
a = 1h = -4 = shift 4 units to the leftk = -2 = shift 2 units downAnswer: Shift the parent function 4 units to the left and 2 units down.=====================================================
Problem 9
This time we have
a = 1h = 4k = -3Answer: Shift the parent function 4 units to the right and 3 units down=====================================================
Problem 10
So far, all of the 'a' values have been positive 1. This means that there hasn't been any reflection or vertical stretching going on.
This time we have a = -1 instead of a = 1.
So we will reflect over the x axis along with the shiftings similar to the ones that occurred with the previous problems.
Answer: Reflect the parent function over the x axis, shift 4 units to the right, and shift 2 units upRelated Questions
What’s the total area of a rectangular prism with a height of 17 feet, a width of 12feet, and a thickness of 10feet?
Answers
Answer:
988 feet________________
7. If AJKL - ANMP, find the value of x.
P x +5 N
49
14
M
J 9x + 1 L
Answers
Answer:
Since they are similar their sides are corresponding,
9x + 1 / x + 5 = 49 / 14
or, 14 ( 9x + 1 ) = 49 ( x + 5 ) { cross multiply}
or, 126x + 14 = 49x + 245
or, 77x = 231
or, x = 231/77
or, x = 3
Hope it helped
ALL THE BEST!!
( Hope u will mark me brainliest )
Bobby decides to sell lemonade on a hot summer day. If Bobby sells 20 glasses of lemonade for $2.00 per cup, and his average total cost is $1.70, what are Bobby's economic profits for the day?
Answers
.30 x 20 = 6.00 $6 profit for day
Bobby's economic profit for the day is $6.
Bobby's economic profit is total revenue less total cost.
Economic profit = total revenue - total cost
Total revenue = price x glasses of lemonade sold
20 x $2 = $40
Total cost = average total cost x glasses of lemonade sold
$1.70 x 20 = $34
Economic profit = $40 - $34 = $6.
A similar question was answered here: https://brainly.com/question/14918805?referrer=searchResults
evaluate the given expression for x = -11
-3x-5
Answers
Answer:
28
Step-by-step explanation:
-3(-11)-5
33-5
28
Solve for the missing side of the triangle
Answers
sin53=x/15
0.798×15=x
x=11.98is your answer
A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left? I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST
Answers
Answer: 240 gallons
Step-by-step explanation:
From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:
= 1/3 × 360
= 120 gallons
Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:
= 360 - 120
= 240 gallons
Solve the Anti derivative.
Answers
Answer:
[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]
General Formulas and Concepts:
Algebra I
FactoringCalculus
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Factor fraction denominator: [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]Step 3: Identify Variables
Set up u-substitution for the arctan trig integration.
[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]
Step 4: Integrate Pt. 2
[Integral] Substitute u-du: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify: [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply: [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
The product of-9/4 with another number is 7/3.what is the other number
Answers
Answer:
Step-by-step explanation:
(-9/4)x = 7/3
x = (7/3) · (-4/9) = -28/27
Does the following table represent an exponential decay or growth function?
Answers
Answer:
It shows the growth function I think because the are increasing
Step-by-step explanation:
It is not a exatly
If our school has about 300 seventh graders, about how many would be expect to watch 4 to
8 hours of television weekly?
A. 55
B. 116
C. 138
D. 165
Answers
Answer:
55
Step-by-step explanation:
can someone help me find the value of x
Answers
Answer:
x=52
Step-by-step explanation:
A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52
X + Y = 2. y =2x + 5 write the solution as a ordered pair
Answers
Answer:
(-1, -2)
x=-1
y=-2
Step-by-step explanation:
x+y=2
y=2x
Knowing this information, we can substitute y for 2x+5 in the first equation.
x+2x+5=2
3x+5=2
3x=-3
x=-1
Now, plug x into the second equation.
y=2(-1)
y=-2
b.) -1, 6, -36, ....
Answers
108, -648, 3888
Pattern: multiply by -6
Factor -7x^3+21x^2+3x-9 by grouping what is the resulting expression
Answers
Answer:
Step-by-step explanation:
You want to group things that can actually be factored. You dont want to group -7x^3 and -9 because that would just be a mess and wouldnt give you the right answer.
[tex](-7x^3+21x^2)+(3x-9)\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]
PLS I NEED HELP! If y varies direct to x and y = 12 and x = 3, then what does x equal when y is 80?
Answers
Answer:
20
Step-by-step explanation:
12 divided by 3 = 4
therefore 80 divided 4 is 20
Answer:
x=10
Step-by-step explanation:
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
Answers
Answer:
The disposable income predicted to be $17 trillion in 2033.
Step-by-step explanation:
The disposable income, in billions, in t years after 2010 is given by the following function>
[tex]D(t) = 10020e^{0.02292t}[/tex]
In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
This is t for which [tex]D(t) = 17000[/tex]. So
[tex]D(t) = 10020e^{0.02292t}[/tex]
[tex]17000 = 10020e^{0.02292t}[/tex]
[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]
[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]
[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]
[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]
[tex]t = 23[/tex]
2010 + 23 = 2033
The disposable income predicted to be $17 trillion in 2033.
What is the absolute value of |-2+4|
Answers
Answer:
2
Step-by-step explanation:
The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.
| -2 + 4 |
Simplify,
|2|
= 2
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answers
Answer:
2.56
Step-by-step explanation:
f(x)=2x+1
g(x)=x-5
calculate f(g(x))
Answers
Answer:
2x-9
Step-by-step explanation:
substitute g into f
2(x-5)+1
2x-10+1
2x-9
If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left
Answers
Answer:
6 1/2 (a.k.a 6.5)
1/4 = 2/2 + 1/2 = 3/2 = 1 1/2
8 - 1 1/2 = 6 1/2
URGENT URGENT!!!!! PLEASE HELP
Answers
Answer:
2x+3y=T
Step-by-step explanation:
t= total
the total number of points depending on how many 3 points are shot makes up the score.
What is the difference? Complete the equation.
-2 1/4 - (-3/4)
Answers
Answer:
-1.5
Step-by-step explanation:
Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
Answers
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression.
Answers
Answer:
yes
Step-by-step explanation:
The tape diagram a way to model 5/8x11
Answers
Answer:
55/8
Step-by-step explanation:
here u gooo good luck
Hair colors are an example of which type of data?
Answers
Answer:
Nominal data are used to label variables without any quantitative value. Common examples include male/female (albeit somewhat outdated), hair color, nationalities, names of people, and so on. In plain English: basically, they're labels (and nominal comes from "name" to help you remember). You have brown hair (or brown eyes).
Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.
Answers
Answer:
7 1/2 miles
Step-by-step explanation:
Sam puts $500 in the bank and does not put any more money in or take any out for elght years. He receives 6% Interest
yearly, compounded semi-annually. How much money will be in the account after elght years?
O $793.44
$796.92
O $800.52
O $802.36
Answers
Answer:
$793.44
Step-by-step explanation:
A set of 6 number cards contains the numbers 2,5,7,8,9, and 11. Which ratio of odd number cards to total cards in the set?
Answers
What’s 720 x 0.1? Please answer
Answers
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
720 x 0.1 would be 72 because the 0 doesnt show when you times it. your welcome lol.