Question

Question #eef57

Answer 1

Use the formula `x = (-b)/(2a)` to find the x coordinate, then plug in x to find the y coordinate.

Explanation:

The vertex of a parabola in form `y = ax^2 +bx +c` can be found using the formula `x = (-b)/(2a)` for the `x` coordinate.

so a = -4, b = 16, and c = -15.

`x =( -16)/(2(-4)) = 2`

Plug in x = 2 to the original equation to find the y coordinate of the vertex.

`y = (-4)(2)^2 + 16(2) -15 = 1`

The vertex is then `(2,1)`.