Chapter 8.8, Problem 31WE

(a)

To determine

To draw: Thegraph of the given equations.

Explanation of Solution

Given information:

The given equationsare,

  $\begin{array}{l}y=x^2\\ y=x^2+1\\ y=x^2-2\end{array}$

Consider the graph of the given equations,

  

(b)

To determine

To find: Thedescription of the change in the graph.

Explanation of Solution

Given information:

The given equations are,

  $\begin{array}{l}y=x^2\\ y=x^2+1\\ y=x^2-2\end{array}$

Consider the graph of the given equations,

  

As the value of $c$ increases, the curve of the given equation shifted upward along the y -axis, but if the value of $c$ decreases, it shifted downward along the y -axis.