Chapter 8.1, Problem 9E

To determine

To graph: Graph the given function and compare it with $f(x)=x^2$

Explanation of Solution

Given: $m(x)=-2x^2$

Graph:

The graph of the function $m(x)=-2x^2$ is given by

  

The graph of $f(x)=x^2$ is given by

  

From the two graphs it can be seen that both f(x) and m(x) are parabolas with vertex at (0, 0), axis parallel to y-axis.

The graph of f(x) opens upwards but that of m(x) opens downwards.

Also, corresponding to any value of x, the value of m(x) is -2 times than that of f(x).