SOLUTION: f(x)= -3x^2+ 24x - 52 What is the axis of symmetry here? What is the vertex? What is x-intercept?

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Question 798631: f(x)= -3x^2+ 24x - 52
What is the axis of symmetry here?
What is the vertex?
What is x-intercept?

Answer by waynest(281)   (Show Source): You can put this solution on YOUR website!
-3x^2 + 24x - 52
-3x^2 + 24x - 52 + 52 = 52
-3x^2 + 24 = 52
-3(x^2 - 8x + (8/2)^2) = 52 -3(8/2)^2
-3(x^2 - 8x + 16) = 52 - 48
-3(x - 4)^2 = 4
-3(x - 4)^2 - 4 = 4 - 4
-3(x - 4)^2 - 4 = 0
axis of symmetry: x = 4
vertex: (4, -4)
no x-intercepts

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