Question

Can anybody help me out on this? Thanks.

Answer 1

Answer:

$x = 3$

Step-by-step 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:

$x = -\frac{b}{2a}$

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

$a = -2$

$b = 12$

$c = 7$

So, we have:

$x = -\frac{b}{2a}$

$x = -\frac{12}{2*-2}$

$x = -\frac{12}{-4}$

$x = \frac{12}{4}$

$x = 3$