Find the vertex of the parabola y=2x^2+8x-9

The vertex is (-2,-17).

Step-by-step explanation:

We have given y=2x²+8x-9

To find the x-coordinates we use:

xv = - b/2a

where a=2 and b=8

Now put the values in the formula:

xv = - (8) / 2 (2)

xv=-8/4

xv = - 2

Now to find the y coordinates, we will simply substitute the value in the given equation:

y=2x²+8x-9

y=2 (-2) ²+8 (-2) - 9

y=2 (4) - 16-9

y=8-16-9

y=-8-9

y = - 17

Therefore the vertex is (-2, - 17) ...