Question

Question #648a4

Answer 1

The coordinates of the vertex are `(1,-8)`.

Explanation:

For a parabola written in the form `y = ax^2 + bx + c`, we have the formula `x = (-b)/(2a)` to find the `x` value of the vertex.

In this case `a=1` and `b=-2`, so `x = (-(-2))/(2(1))` = `2/2` = 1

Since we know that the `x` value of the vertex point is 1, we can substitute that back into the initial equation to find the `y` value of this point:

`y = (1)^2 -2(1) - 7 = -8`

Over all, then, the coordinates of the vertex are `(1,-8)`.