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Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.

User Heuristic
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1 Answer

1 vote

Answer:
f(x) = 5(x+1)^(2) - 13

Vertex = (-1, -13)

Explanation:


f(x) = 5x^(2) + 10x - 8\\f(x) = 5(x^(2)+2x)-8\\f(x) = 5(x^(2)+2x+1-1)-8\\f(x) = 5((x+1)^(2)-1)-8\\f(x) = 5(x+1)^(2)-5-8\\f(x) = 5(x+1)^(2)-13

Vertex = (h, k) = (-1, -13)

User Dylan Maxey
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