General Transformation Review

Label the transformations that a, b, c, & d represent in a function.

a

b

c

d

Horizontal Shift

Horizontal Stretch/Shrink

Vertical Shift

Vertical Stretch/Shrink

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(x - 4)

• y = f(x) - 4

• y = f(x + 4)

• y = f(x) + 4

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(3x)

• y = f(2x)

• y = 2f(x)

• y = 3f(x)

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(2x)

• y = f(0.5x)

• y = 2f(x)

• y = 0.5f(x)

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(2x)

• y = f(0.5x)

• y = 2f(x)

• y = 0.5f(x)

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(2x)

• y = f(3x)

• y = 2f(x)

• y = 3f(x)

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(x - 3)

• y = f(x) - 3

• y = f(x + 3)

• y = f(x) + 3

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(x - 1)

• y = f(x) - 1

• y = f(x + 1)

• y = f(x) + 1

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(x - 3)

• y = f(x) - 3

• y = f(x + 3)

• y = f(x) + 3

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(-x)

• y = -f(x)

• y = f(x + 1)

• y = f(x) + 1