Transformations

Question 1

Base function: f(x)=x^2

What does the following do to a graph?

g(x)=x^2+3

Answer 1

Vertical shift

Question 2

What is true about the reflection -f(x)?

Answer 2

All output values change signs (across x axis)

Question 3

What is true about the reflection f(-x)?

Answer 3

All input values change sides (across y axis)

Question 4

What is true about the shift f(x)=(x-3) ?

Answer 4

Horizontal Shift 3 to the right

Question 5

Vertical stretch or shrink is

Answer 5

Outside of function
3f(x)= vertical stretch
1/3f(x)= vertical shrink

Question 6

f(1/3x) represents?

Answer 6

HORIZONTAL STRETCH

Question 7

f(3x) represents?

Answer 7

HORIZONTAL SHRINK

Question 8

Steps for transforming

Answer 8

1.) Translate horizontally
2.) stretch or shrink
3.) Reflect
4.) shift

Question 9

To graph y=f(x-c), shift y=f(x) to the ______ c units

Answer 9

Right

Question 10

To graph y=f(x+c), shift y=f(x) to the ______ c units

Answer 10

Left

Question 11

y=af(x)

Answer 11

Vertically stretch/shrink

Question 12

y=f(ax)

Answer 12

Horizontally stretch/shrink

Question 13

y=-f(x) reflects y=f(x) along the _____ axis

Answer 13

X

Question 14

y=f(-x) reflects y=f(x) along the _____ axis

Answer 14

Y

Question 15

y=f(x) + c shifts y=f(x) ____ c units

Answer 15

Up

Question 16

y=f(x)-c shifts y=f(x) ____ c units

Answer 16

Down