Graph Transformations

Question 1

y = f(x)+a

Answer 1

Moves graph a units UP.

Question 2

y = f(x)-a

Answer 2

Moves graph a units DOWN.

Question 3

y = f(x+a)

Answer 3

Moves graph a units to the LEFT.

Question 4

y = f(x-a)

Answer 4

Moves graph a units to the RIGHT.

Question 5

y = -f(x)

Answer 5

Reflection in x axis (VERTICAL flip).

Question 6

y = f(-x)

Answer 6

Reflection in y axis (HORIZONTAL FLIP).

Question 7

y = af(x)

Answer 7

Makes graph taller and skinnier.(VERTICAL stretch of SF a)

Question 8

y = f(ax)

Answer 8

Stretches or squashes graph horizontally.(HORIZONTAL stretch of SF 1/a)