Answer:
(4,-36)
Step-by-step explanation:
Since the roots of the equation are -2 and 10, you can set up the quadratic like this:
[tex]y=(x+2)(x-10)[/tex]
Expanded:
[tex]y=x^2-8x-20[/tex]
To find the x-coordinate of the vertex, use: [tex]x_{vertex}=\frac{-b}{2a}[/tex]
[tex]x_{vertex}=\frac{-(-8)}{2(1)}=\frac{8}{2}=4[/tex]
Plug in 4 to either quadratic equation to get the y value:
[tex](4+2)(4-10)=(6)(-6)=-36[/tex]
Thus the vertex is (4,-36)
If I helped, a brainliest would be greatly appreciated!
