Respuesta :

saya
We have to convert this equation (which is called as standard form) into vertex form. We can do that by completing the square.
f(x) is also known as y, so I will make y equal to 0.

[tex]y= -2x^{2} +20x-7[/tex]

[tex]7=-2 x^{2} +20[/tex]

[tex]107=(x+5) ^{2} [/tex]

[tex]0=(x+5)^{2}-107[/tex]

And so the vertex would be (-5, -107)
bcalle
You can use the formula
x = -b/2a
After finding x, plug it back in to the function to find y.
x = -20/-4 x= 5
y = -2(5)^2+20(5)-7
y = -50+100-7
y = 43
(5,43)