Chapter 9, Problem 24CT

To determine

To determine the required equation of parabola.

Answer to Problem 24CT

  $y=-x^2+2$

Explanation of Solution

We know that the equation of a parabola is in the form $y=a{x}^2$

When $a<0$ then the graph opens downward and it has a maximum value.

Now to have two $x$ -intercepts we may add 2 units to $y$ -intercepts.

This will slide the parabola two units upward.

Hence the equation of the required parabola is $y=-x^2+2$

Graph of the parabola is,