Question

Can anybody help me out on this? Thanks.

Answer 1

`x = 3`

Explanation:

Given

`y = -2x^2 + 12x +7`

Required

The x coordinate of the vertex

Using the general form:

`y = ax^2 +bx +c`

The x coordinate is:

`x = -(b)/(2a)`

In
`y = -2x^2 + 12x +7`

`a = -2`

`b = 12`

`c = 7`

So, we have:

`x = -(b)/(2a)`

`x = -(12)/(2*-2)`

`x = -(12)/(-4)`

`x = (12)/(4)`

`x = 3`