f(x)= -4x^2-7x+2?

Question

Vertex of quadratic function. Write answer as fraction in lowest terms

Answer 1

f(x) = -4x^2 - 7x + 2
f ' = -8x - 7 = 0
-8x = 7
x = -7/8
y = -4(-7/8)^2 - 7(-7/8) + 2
y = -4(49/64) + 49/8 + 2
y = -49/16 + 98/16 + 32/16 = 81
vertex at (-7/8, 81/16)