Exponential FunctionsTranslations

Brittany Hurley

Parent Function

Let’s look at f(x) = 2x:

Vertical Translations

y = bx + cAdding a number shifts the graph up Subtracting a number shifts the graph down

2xy

2 3xy

2 4xy

Horizontal Translations

y = bx+c

Adding a number to the exponent shifts the graph to the leftSubtracting a number to the exponent shifts the graph to the right

2xy

( 3)2 xy

( 4)2 xy