Transformations of Functions

Question 0

y=f(x+a)

Answer 0

Graph translates -a units in x direction (left).

Question 1

y = f(x)+a

Answer 1

Graph translated a units in y direction (up).

Question 2

y=af(x)

Answer 2

Stretched with scale factor a - x coordinates stay the same, y coordinates multiplied by a.

Question 3

y=f(ax)

Answer 3

Squashed with scale factor 1/a - x coordinates divided by a, y coordinates stay the same.

Question 4

y=-f(x)

Answer 4

Reflection of y=f(x) in the x axis.

Question 5

y=f(-x)

Answer 5

Reflection of y=f(x) in the y axis.