Graph Translation

Question 1

What is

Graph Translation?

Answer 1

The movement of a graph of a function about the x or y axes

Question 2

Taking the original function f(x), what is

f(x) + 3

Answer 2

Movement three units up the y axis

Question 3

Taking the original function f(x), what is

f(x) - 3

Answer 3

Movement three units down the y axis

Question 4

Taking the original function f(x), what is

f(x - 3)

Answer 4

Movement three units to the RIGHT on the x axis

Note the subtle difference

Question 5

Taking the original function f(x), what is

f(x + 3)

Answer 5

Movement three units to the LEFT on the x axis

Note the subtle difference

Question 6

Taking the original function f(x), what is

- f(x)

Answer 6

A reflection of the graph of the function about the x axis

Flipping it upside down

Question 7

Taking the original function f(x), what is

f(-x)

Answer 7

A reflection of the graph of the function about the y axis

Flipping it laterally

Question 8

Taking the original function f(x), what is

2f(x)

Answer 8

A vertical stretch of the graph of the function by a factor of 2 along the y axis

Graph becomes longer

Question 9

Taking the original function f(x), what is

0.5f(x)

Answer 9

A vertical compression of the graph of the function by a factor of 2 along the y axis

Graph becomes shorter

Question 10

Taking the original function f(x), what is

f(2x)

Answer 10

A horizontal compression of the graph of the function by a factor of 2 along the x axis

Graph becomes more packed

Question 11

Taking the original function f(x), what is

f(0.5x)

Answer 11

A horizontal stretch of the graph of the function by a factor of 2 along the x axis

Graph becomes more spread out

Question 12

https://www.purplemath.com/modules/fcntranq.htm

Quiz 1

Question 13

https://www.geogebra.org/m/krkhbpsz

Quiz 2

Question 14

Resource 1

https://www.scg.ac.uk/images/documents/pre_enrol/homework_academic/1f_Tr