Respuesta :

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

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