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 $f\left(x\right)=x^2$.

Short answer

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

Step-by-step solution

Given information

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

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$h<0$.