Answer
a. $f(x) = -4(x+1/2)^2 + 4$
b. See graph attached below
c. Maximum value = 4
Work Step by Step
$f(x) = -4x^2 -4x + 3$
a. $f(x) = -4( x^2 + x + 1/4) + 3 +1$
$f(x) = -4(x+1/2)^2 + 4$
b. See graph attached below
c. The maximum value is at the vertex, which is at (-1/2, 4) (from standard form)
Maximum value = 4
