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Nikolay [14]
2 years ago
8

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

Mathematics
1 answer:
posledela2 years ago
5 0

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

Vertex = (-1, -13)

Step-by-step 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)

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