Q. 100 - Precalculus Enhanced with Graphing Utilities

Question

Horizontal Shifts Open the horizontal shift applet. Use your mouse to grab the slider and change the value of $h$. Note the role $h$ plays in the graph of $g\left(x\right)=f(x-h)$, where $f\left(x\right)=x^2$.

Step-by-Step Solution

Answer

There is a horizontal shift rightward for $h>0$  and to the left for $h<0$

Step 1: Given information

Given the function $g\left(x\right)=f(x-h)$

Step 2: Checking the reason

The function $g\left(x\right)=f(x-h)$,  it is shifted horizontally right for the values of $h>0$ and horizontally left for the values of $h<0$.