Question

The vertex of this parabola is at (5,-4). which of the following could be its equation?

Answer 1

Option D

Explanation:

The equation of a parabola in vertex form is

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

Where (h,k) is the vertex.

We were given the vertex as (5,-4). This implies that:

h=5, k=-4, we can see that a=2 is the leading coefficient of all the options.

We substitute the values to get:

`y = 2(x - 5)^(2) + - 4`

Or

`y =2( {x - 5)}^(2) - 4`