Answer:
A. y = 3(x -4)^2 -3
Step-by-step explanation:
y = 3x^2 - 24x + 45
Use the form ax^2 + bx + c
whereas a = 3, b = -24, c =45
Consider the vertex form of a parabola
a(x + d)^2 + e
Since d = b/2a = -24/2(3) = -4
And e = c - (b)^2/4a = 45 - (-24)^2/4(3) = 45 - 48 = -3
So y = a(x + d)^2 + e
y = 3(x -4)^2 -3
