Question

The vertex of this parabola is at (-2,5) which of the following could be its equation (apex)

Answer 1

y=3(x+2)^2+5

Explanation:

y = 3(x+2)^2 + 5 Is the correct answer

Answer 2

Option D.
`y=3(x+2)^(2)+5`

Explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

`y=a(x-h)^(2)+k`

where

(h,k) is the vertex of the parabola

If a> 0 then the parabola open up and the vertex is a minimum

If a< 0 then the parabola open down and the vertex is a maximum

In this problem the vertex is the point (-2,5)

so

the equation must be equal to

`y=a(x+2)^(2)+5` and the value of a is positive

therefore

the answer is the option D