Question

Graph the Following parent function

Answer 1

see attached

Explanation:

You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).

Transformation

The replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.

The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.

The translated, reflected graph is shown in blue in the attachment.