Given equation is [tex]y= 2x^2 + 8x - 5[/tex]
To find the x coordinate of vertex we use formula
[tex]x=\frac{-b}{2a}[/tex]
From the given equation a= 2, b= 8 and c= -5
Plug in all the values
[tex]x=\frac{-8}{2*2}=-2[/tex]
The x coordinate of vertex is x=-2
To find y coordinate of vertex we plug in -2 for x in the given equation
[tex]y= 2x^2 + 8x - 5[/tex]
[tex]y= 2(-2)^2 + 8(-2) - 5= 8-16-5=-13[/tex]
So vertex is (-2,-13)
