Parent Functions
a, h, and k
Domain and Range
Graphing Transformations
Transformations of Functions
100

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

What is a LINEAR FUNCTION?

100

Variable that shows a vertical shift

What is k?

100

The domain of f(x) = x2

What is all real numbers?

x in RR

100

Graph the transformation given by the equation:

f(x)=sqrt(x+2)

What is: 

100

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?

200

The Parent Function given by the graph:

What is a Quadratic Function?

200

Variable that shows a horizontal shift in the opposite direction

What is h?

200

Describe the range of the graph:


What is

y>=2

:

200

Graph the transformation given by the graph:

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

What is 

200

 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?

300

The equation of an Absolute Value parent function.

What is 

f(x)=|x|

300

This happens to the graph when "a" is negative

What is reflects over the x-axis?

300

Describe the domain of the graph:

What is: 

x<=1/2

300

Graph the transformation

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

300

Describe the transformation in the given equation:

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

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

400

The parent functions given by the graph:

What is Reciprocal or Hyperbola function.

f(x)=1/x

400

This happens when a>1

What is vertical stretch?

400

Describe the domain of the transformation given by:

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

**Hint: This is a reciprocal function.

What is All REAL NUMBERS?

x in RR

400

Graph the transformation:

1/(x+3)-1

What is:

400

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.

500

The equation of an Exponential parent function.

What is 

f(x)=b^x

500

This happens when 0<a<1

What is a vertical compression?

500

Find the domain of 

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

What is 

x in RR, x ne -2

500

Graph the transformation

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

500

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

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

What is a quadratic function, vertical compression of 1/2, shift right 4 and up 1?