Q. 99 - Precalculus Enhanced with Graphing Utilities

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

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

Step-by-Step Solution

Answer

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

Step 1: Given information

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

Step 2: 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 $k<0$