EXAMPLE BY MS. MOODIE

Exponential Graphs

Parent Function: y = ab(x-h) +k

Parent Functiony = ab(x-h) +k

Shrink / Stretch

a

a > 1Stretch

0< a < 1Shrink

Horizontal Translation

h

h >0Right

h < 0Left

Vertical Translation

k

k > 0Up

k < 0Left

Note: the function states (x-h) so the translation will appear to be moving in the opposite direction of what would seem intuitive.

Stretch: y = 2x Stretch: y = ½x

Stretch / Shrink

Right: y = 3(x-5) Left: y = 3(x+5)

Horizontal Translation

Up: y = 3x +5 Down: y = 3x - 5

Vertical Translation

y = 2(x-5) +5 y = ½(x+5) - 5

Composite Function

ExtraCredit

If you wish to receive 5 points of extra credit on your final presentation, you may embed a video that is related to the type of function you are graphing.

You may find a video online or you may create your own, the choice is yours.