Question

Vertical Shifts Open the vertical shift applet. Use your mouse to grab the slider and change the value of $k$. Note the role $k$plays in the graph of $g\left(x\right)=f\left(x\right)+k$, where

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

Short answer

There is a vertical shift up for $k>0$and vertical shift down for$k<0$

Step-by-step solution

Given information

Given the function$g\left(x\right)=f\left(x\right)+k$

Checking the reason

The function $g\left(x\right)=f\left(x\right)+k$, it is shifted vertically up for the values of $k>0$and vertically down for the values of $k<0$