Transformations
Inverses
Square Root Equations
Cubic Equations
100

Write the transformations for:

y=-4sqrt(x-2)+5

Vertical stretch by 4 

reflection on x-axis 

right by 2 

up by 5

100

Find the inverse for:

4(x+1)3-2


f-1(x)=^3sqrt((x+2)/4)-1

100

What is f(4) when

f(x)=sqrtx-1

f(4)=1

100

What is f(-1) when

f(x)=x^3+5

f(-1)=4

200

Given the parent function: f(x)=x3

Write the transformations for: 

g(x)=-2(x+4)3-1

Vertical stretch by 2

reflection on x-axis 

left by 4

down by 1

200

Find the inverse for:

f(x)=sqrt(x-1)+2

f-1(x)=(x-2)2+1 or f-1(x)=x2-4x+5

200

Find x if g(x)=5 when

g(x)=sqrtx+1

x=16


200

Find x if g(x)=8 when

g(x)=(x-1)^3

x=3

300

Given the parent function: f(x)=|x|

Write the transformations for: g(x)=0.5|x-3|+1

Vertical compression by 1/2

right by 3

up by 1

300

Find the inverse for: f(x)= (x+5)3-9

f-1(x)=^3sqrt(x+9)-5

300

What is the inverse of the following function

f(x)=sqrt(x)-3

f^-1(x)=(x+3)^2

300

What is the inverse of the following function

g(x)=x^3+1

g^-1(x)=^3sqrt(x-1)

400

Write the transformed function given: 

f(x)=^3sqrt(x)

reflection across the x-axis

horizontal compression

5 units down

g(x)=-^3sqrt(2x)-5

400

Are these functions inverses?

f(x)=x3+4

g(x)=^3sqrt(x-4)

Yes

400

What is the inverse of the following function

h(x)=sqrt(x-1)

h^-1(x)=x^2+1

400

What is the inverse of the following function

h(x)=^3sqrt(x+2)

h^-1(x)=x^3-2

500

Write the new function

f(x)=^3sqrt(x)

from the transformations:  Vertically compressed by 1/2...translated up by 3....left by 2

g(x)=1/2  ^3sqrt(x+2)+3

500

Are these functions inverses? 

f(x)= 2(x-1)3 +3 

g(x)=^3sqrt((x-3)/2)+1

Yes, they are inverses. 

500

What is the inverse of the following function

j(x)=sqrt(x-3)+2

j^-1(x)=(x-2)^2+3

500

Compare the average rate of change for the following function over the interval 0<x<4 (round to the nearest tenth)

g(x)=^3sqrt(x)+5

0.4

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