Domain/Range
Evaluate functions / Find points
Graph Transformations
Linear Equations
Function Transformations
100

What is the domain and range of the graph?


Domain: All Real Numbers

Range:y=2

100

Evaluate: 

F(-2) = 3x + 5

f(-2) = -1

100

Describe the transformation of the constant function below as it relates to the from the constant parent function.



Translation up 2


100

Find the equation of a line that has a slope of -4 and goes through the point (0, 9)

f(x)=-4x+9

100

Transform constant function f(x)=1 given the following transformations:

Translation 5 units down


g(x)=-4
200

What is the domain and range of the function?


Domain: All Real Numbers

Range: All Real Numbers

200

Evaluate f(8) = x2 - x - 6 

f(8) = 60 

200

Describe the transformation of the linear function below to the the linear parent function.



Vertical Stretch & Translated up 3


200

Find the equation of a line that has a slope of 3/4 and goes through the point (4, -2)


f(x)=3/4x-5

200

Transform linear function f(x)=x given the following transformations:

vertical stretch by a factor of 3 and a translation 2 units up


f(x)=3x+2

300

What is the domain and range of the following graph?

Domain: [-5,3)

Range: [0,2]

300

For the graph of the function f(x), there is a point (-5, 8), please find the new point for the given transformation:

-f(x-1) + 5

(-4,-3)

300

Describe the new transformation from the parent function f(x) (red) to the g(x) (blue) transformation.

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


Translated up 3, left 1, & Reflected over the x axis.

300

Find the equation of the line below:


f(x)=-2x+6


300

Transform absolute value function f(x)=|x| given the following transformations:

vertical shrink by a factor of 1/2 followed by a translation 6 units up and 1 unit left


f(x)=1/2|x+1|+6

400

What is the domain and range of the graph?


Domain: (-inf, inf)

Range: (-inf, inf)

400

For the graph of the function f(x), there is a point (-5, 8), please find the new point for the given transformation:

-3f(-x) + 2

(5,-22)

400

Describe the transformation of the absolute value function as it relates to the parent function. 


Vertical Stretch

Translates 2 Right

Translates down 1

400

Find the equation of a line that passes through the points (3,21) and the point (1, 5)



f(x)=8x-3

400

Transform linear function f(x)=-x+7 given the following transformations:

vertical stretch by factor of 2 followed by a translation 5 down.  

f(x)=-2x+9

500

What is the domain and range?

Domain: (-5, 1]

Range: [-1,15]


500

For the graph of the function f(x), there is a point (0, 0), please find the new point for the given transformation:

-f(-x + 2) - 3

(-2,-3)

500

Use the transformations of the graph to write an equation of the absolute value function below:

f(x) = 2|x-3|-2

500

Find the equation of a line that is perpendicular to g(x)=-1/2x-12 and goes through the point (3, -1)


f(x)=2x-7


500

Transform absolute value function f(x)=|x+2|-1 given the following transformations:

reflection over the x-axis followed by a translation 3 units up and 5 units right

f(x)=-|x-3|+2

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