Transformation Jeopardy

What's Happening

100

Which axis does a function shift for a vertical transformation?

y-axis

200

Which axis does the function shift on for a horizontal transformation.

x-axis

300

In a Vertical shift does the slope or y-intercept change?

y-intercept

400

Describes f(x - 3) + 5

The parent function shifts 3 units to the right and 5 units up.

500

The equation represents the graph of the parent function is shifted(translated) down 3 units. 

f(x) - 3

What's My Name

100

Name the translation and it's direction along the axis!

f(x)= m(x + h)

f(x)= 2(x + 1)

Horizontal shift to the left on the x-axis

200

Name the transformation and it's direction along the axis!

y= f(x) + 1

Vertical shift/translation up the y-axis 1 unit

300

Name the transformation and it's direction along the axis!

y= f(x) - 5

Vertical shift down the y-axis 1 unit. 

400

Name the transformation and it's direction along the axis!

f(x)= m(x-5)

Horizontal shift to the right 5 units on the x-axis

500

What's the difference between the two functions?

f(x)= x²

^g(x)= x² - 8

f(x) is the original(parent) function and g(x) represents the parent function shifted vertically down 8 units.

Write that f(x)

100

Write the function for g and name the transformations in g performed on f.

f(x)=  -2x 

 g(x)= -2(x-2) + 3

g(x)= -2x + 7

Horizontal shift to the right 1 and vertical shift up 3

200

Write the function for  g  and name the transformations in g performed on f.

f(x)=  3x 

 g(x)= 3(x+2) - 10 (hint: distribute first to simplify f(x))

g(x)= 3x - 4

Horizontal shift to the left 2 and vertical shift down 4.

300

Write the function g and name the transformations in g performed on f.   

f(x)=  1/2x 

 g(x)= 1/2(x-2) + 3 (hint: distribute first to simplify f(x))

g(x)= 1/2x + 2

Horizontal shift to the right 2 and vertical shift up 2. 

400

What's the simplified function of  g?

f(x)=  4x - 1

 g(x)= 4(x + 2) - 1 (hint: distribute first to simply f(x))

g(x)= 4x + 7

500

What's the simplified function of  g?

f(x)=  5x + 5

 g(x)= 5(x - 3) + 5 (hint: distribute first to simply f(x))

g(x)= 5x - 10

Reflect What?

100

This reflects the function across which axis?

-f(x)

x-axis

200

This reflects the function across what axis?

f(-x)

y-axis

300

Write the reflected function -f(x). What's the function g after its been reflected? 

f(x)= 2x + 3

g(x)= ?

g(x)= -2x - 3

400

Write the reflected function f(-x). What's the function g after its been reflected? 

f(x)= 2x + 3

g(x)= ?

g(x)= -2x + 3

500

Reflecting a function across the y-axis will change the slope and not the y-intercept? True or False

True

Let's Stretch & Compress

100

For a*f(x) when a>1; Is this a vertical stretch or vertical compression/shrink?

Vertical stretch

200

For a*f(x) when a<1; Is this a vertical stretch or vertical compression/shrink?

g(x)= 2f(x)

Vertical compression/shrink

300

For f(1/bx) when a<1; Is this a horizontal stretch or horizontal compression/shrink?

Example: f(x)= 1/2x

Horizontal stretch

400

For f(ax) when a>1; Is this a horizontal stretch or horizontal compression/shrink?

g(x)= f(2x)

horizontal shrink/compression

500

Match the transformation rule with it's transformation name.

A. Vertical Shift                               1.f(1/b) when a<1:stretch; f(ax) when a>1:compression/shrink

B. Horizontal Shift                           2.y=f(x) + k; y=f(x) - k

C. Vertical Stretch/Compress            3.y= f(x+h); y=f(x-h)

D. Horizontal Stretch/compress        4.a*f(x) when a>1: stretch; 1/b*f(x) when a<1:compression/shrink

A=2

B=3

C=4

D=1