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)

Whats is a square root function horizontally shifted 4 units to the right and vertically 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 y-axis and vertically shifted down 2 units?

200

Graph the transformation given by the equation:

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

What is: 

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 = ex:

What is an exponential?

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 horizontal shift to the left 3 units, a reflection over the x-axis, and a vertical 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)=1/x

f(x)=1/(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 functions with domain exclusions.

What is Square Root & Reciprocal functions.

f(x)=sqrtx

f(x)=1/x

400

Describe the domain of the transformation given by:

g(x)=2/(-x+4)

**Hint: This is a reciprocal function.

What is All REAL NUMBERS EXCEPT 4?    

(-infty, 4) uu (4, infty)

400

The period of sin 2x =y.

What is pi ?

400

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

The domain and range

What is x greater than or equal to -3 and y is greater than or equal to 2?

400

The domain of f(x) = x2

What is all real numbers?

500

The parent function(s) with breaks in continuity of the graph.

What are Reciprocal (Rational) and Greatest Integer Functions and tangent and cotangent function?

f(x)=1/x

f(x)=[[x]]

500

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

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

500

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

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

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

500

Given f(x)

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

The domain and range.

What is x does not equal to -3 or 2 and y does not equal to 0?

500

Find the domain of 

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

What is 

(-infinity,-2) and (-2, infinity)