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Express the function f(x)=-5x^2+20x+2 in vertex form C)State the maximum or minimum value of the function D)State the equation of the axis of symmetry Please help me with this question step by step

samathsn001

by samathsn001 at November 21, 2009

E) Determine the intervals where the function is increasing or decreasing

F) Determine the intervals where the function is positive or negative.

I had tried this question so many times but i still don't know how to do this question. Please help me with this question answering it step by step please and thank.

Please answer this question as soon as possible

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      f(x) = -5x^2 + 20x +2--> f(x) = -5(x^2 + 4x) +2--> f(x) = -5(x^2 + 4x + 4) +2 + 20  (to add 4 on the inside, we have to add 20 on the outside to counteract the -5*4 = -20)--> f(x) = -5(x +2)^2 + 22C) Maximum Value is k, or 22 (it's a downward sloping parabola).D) Axis of symmetry is x = h, or x = -2E) Increasing to the vertex, or (-inf, -2), decreasing after, (-2, inf)F) Use the quadratic formula on the original equation to find the zeroes.Once you have the equation in vertex form, it's simple to pull out the numbers you need to solve these questions.

Alison037 Alison037 November 22, 2009

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