Question

Instructions: For the function given, determine the direction and amount of horizontal shift from the original function =(3).

Answer 1

Solution:

Given:

$\begin{gathered} Parent\text{ function: }y=(3)x \\ Transformed\text{ function: }y=3^{x+1}+4 \end{gathered}$

To get the horizontal shift, we consider the constant attached to the x.

The x + 1 shows the horizontal shift of 1 unit to the left.

This is shown in the graph of the functions below;

Therefore, the horizontal shift is left 1 unit.