SOLUTION: 2. Given the equation f(x)=-3(x-4)(x+8), determine the following algebraically. x-intercepts y-intercept Equation of the axis of symmetry

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Question 1198638: 2. Given the equation f(x)=-3(x-4)(x+8), determine the following algebraically.
x-intercepts
y-intercept

Equation of the axis of symmetry

Vertex

3.Convert the following from standard form to vertex form by completing the square.
Answer by ewatrrr(24785) (Show Source):
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f(x)=-3(x-4)(x+8)
x-intercepts (when y = 0) P(4,0) and P(-8,0)
y-intercept (when x = 0) P(0, 96)
Equation of the axis of symmetry: x = -2
Vertex: P (-2,108)
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f(x)=-3(x-4)(x+8) = -3(x^2 -4x - 32)
= 3((x+2)^2 -4 - 32)
= -3(x+2)^2 + 108
the vertex form of a Parabola opening up(a>0) or down(a<0),
. V(h, k)