Parent Functions
Transformations of Functions
Graphing Transformations
Transformation
Parent Functions
100

The parent function given by the equation f(x)=mx+b 

What is a LINEAR FUNCTION?

100

Describe the transformation in the given equation:

f(x)=2sqrt(x-4)

What is a square root function moves 4 units to the right and stretched by a factor of 2.

100

Graph the transformation given by the graph:

g(t)=(t-2)^2+3

What is 

100

 Description of transformation of f(x) to  g(x)

f(x)=x^2

g(x)=-6x^2

What is a reflection across the x-axis and a vertical stretch of 6?

100

The name of the parent function.

What is a cube root?

200

The Parent Function given by the graph:

What is a Quadratic Function?

200

Describe the transformation in the given equation:

h(x)=-x^3-2

What is a cubic function reflected over the x-axis and shifted down 2 units?

200

Graph the transformation given by the equation:

z(p)=-sqrt(p+2)

What is: Flipped down and shifted left 2

200

Given k(x) and k(x) has been reflected about the x-axis and down 1

k(x)=sqrt(x-5) +2

What is  

-(sqrt(x-5)+1

200

The name of the parent function  y = |x|:

What is an absolute value function?

300

The equation of an Absolute Value parent function.

What is 

f(x)=|x|

300

Describe the transformation that is occurring in the graph below

What is an absolute value function with a shift to the left 3 units, a reflection over the x-axis, and a shift upward 3 units.

300

Describe the domain and range of the graph:

What is domain: 

(- infty, 1/2]

What is range:

[2, infty)

300

Given 

g(x)=|x|

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

The transformation from g(x) to f(x).

What is left 3 and down 2?

300

The parent function name of the blue graph?

What is a cube root?

400

The parent function that is only in quadrant 1 of a coordinate plane.

What is Square Root & Reciprocal functions.

f(x)=sqrtx

400

Describe the domain of the transformation given by:

g(x)=-x+4


What is All REAL NUMBERS EXCEPT 4?    

(-infty, infty) 

400

All parent functions must go through what?

What is the origin?

400

What is the domain and range of the following?

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

What is 

Domain: [-3, infinity)

Range: [-2, infinity)?

400

The domain of f(x) = x2

What is all real numbers?

500

Which parent functions are the most similar to one another?

What are the Cube Root and Cubic functions?



500

Describe the transformation of y = 2(x-4)2 +1

What is a stretch of 2, shift right 4 and up 1?

500

Describe the order in which you'd graph the given transformation:

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

What is determine the horizontal shift (3 units left), a compression of 1/2 (wider), reflect over the x-axis, and finally shift down one unit?

500

Given f(x)

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

The domain and range.

What is 

Domain: (-infinity, infinity)

Range: [-6, infinity)

500

Find the domain of 

f(x)=x+2

What is 

(-infty, infty)

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