The parent graph y logbx is shown on the graph below Match e

The parent graph, y logb(x) is shown on the graph below. Match each transformed function with its graph. Describe the transformation. Graph 1 Before: After: Function: A y =-logb(x) O c y = logb(x + 3) D y = logb( ) x Description: Graph 2 Before: After: Function: A y =-logb(x) O c y = logb(x + 3) OE y logb(x-2) Description:

Solution

y = logb(x)

Then graph of y = - logb(x) is a mirror image across x axis.

Graph 2

y = logb(x)

Then graph of y = logb(2x) is vertically streteched by 2 units.

Graph 3

y = logb(x)

Then graph of y = logb(x+3) is horizontally shifted to right by 3 units.

Graph 1

y = logb(x)

Then graph of y = logb(x/3) is compressed ie.resulting graph is pulled down below the parent graph

y = logb(x)

Graph 5

y = logb(x -2)

Then graph of y = logb(x-2) is shifted horizontally to right by 2 units

Graph 4