TRANSFORMATIONS

PARENT FUNCTIONS

TRANSLATIONS OF FUNCTIONS

EXAMPLES

Explore the graph f(x) = (x-2)^3

1) What is the parent function? f(x) = x^3

2.) Predict what the how the function will translate?

the new function will shift right 2 units

Identify the translations

1) f(x) = (x-3)^2 +5

The graph shifts right 3 and up 5 units.

2) g(x) = -7(x+2)^3

The graph reflects across the x-axis, has a vertical stretch of 7 and shifts left 2 units.