Question

Write the quadratic function in the form f (x) = a (x - h)? +k

Then, give the vertex of its graph.
f(x) = -3x² +30x - 71 help pls

Answer 1

f(x) = -3(x - 5)^2 + 4

vertex (5,4)

Explanation:

f(x) = -3x² +30x - 71

f(x) = -3(x² +-10x) - 71

f(x) = -3(x² +-10x+5^2-5^2) - 71

f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71

f(x) = -3(x² +-10x+5^2) + 4

f(x) = -3(x - 5)^2 + 4

vertex (5,4)