Question

what is the vertex of th graph of this equation y=2x^2+8x-24

Answer 1

To find the vertex of the graph of the equation y = 2x^2 + 8x - 24, we need to first rewrite the equation in vertex form.

y = 2x^2 + 8x - 24
y = 2(x^2 + 4x) - 24
y = 2(x^2 + 4x + 4) - 2(4) - 24
y = 2(x + 2)^2 - 32

Now that we have the equation in vertex form y = a(x - h)^2 + k, we can see that the vertex of the graph is at the point (-2, -32).

Therefore, the vertex of the graph of the equation y = 2x^2 + 8x - 24 is at (-2, -32).