Question

A parabola that has a vertex of (3, -2) , a focus of ( 3, -2 1/16) , and opens downward. Which of the following best represents the equation of the parabola in standard form?

Answer 1

y = –x2 + 6x – 11

Explanation:

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Answer 2

`y=-x^(2) +6x-11`

Explanation:

Given:

Parabola opens downward:

The general equation for a parabola opening downward with vertex at (a,b):

`y-b=-(x-a)^(2)`

In this case vertex is (3,-2) , hence the equation is:

`y-(-2)=-(x-3)^2`

`y+2=-x^(2) +6x-9`

`y=-x^(2) +6x-11`