Chapter 9, Problem 11PT

To determine

Choose the correct equation.

Answer to Problem 11PT

Option $\text{D}:y=-3x^2+2$ is the correct choice.

is the correct option.

Explanation of Solution

Given:

The graph and 4 options

  

Concept Used:

Downward open parabola means the coefficient of $x^2$ is negative. So we can ignore the options B and C.

Now the vertex of the parabola is (0, 2).

Option $\text{A}:y=-3x^2$ has the vertex at origin or (0, 0). It is also we can ignore.

  $\text{D}:y=-3x^2+2$ is the correct choice.

Thus, option $\text{D}:y=-3x^2+2$ is the correct choice.