Question

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

Answer 1

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)