Chapter 8.5, Problem 81E

To determine

To sketch the parabola with given conditions.

Explanation of Solution

Given:

The given conditions are x intercepts: $-4$ and $2$ range: $y\ge -3$

Calculation:

The axis of symmetry is $x=\frac{-4+2}{2}\to x=-1$

This means the x coordinate of vertex is $-1$

The range: $y\ge -3$ means y coordinate of the vertex is $-3$ .

So plot the vertex at $(-1,-3)$ through the point $(-4,0)$ and $(2,0)$ of the parabola.

The following is the required sketch of the parabola: