Answer:
Step-by-step explanation:
You could complete the square to do this, or you could just evaluate the h coordinate using the simple formula
[tex]h=-\frac{b}{2a}[/tex]
then find k by subbing that h value into the equation for x to find y which is the same as k. In our quadratic, a = 4, b = -8, and c = -4.
[tex]h=\frac{-(-8)}{2(4)}=1[/tex]
Now sub that value into the quadratic to find y (k):
[tex]4(1)^2-8(1)-4=4-8-4=-8[/tex]
The vertex of the quadratic is (1, -8)
