MathQuestion Easy

Question

The graph of f(x) = −3(x − 9)² − 6

 is a parabola that opens downward, with its vertex at (x, y)=?

and and f (9) = ? is the maximum value of f.

Answer 1

Notice that this equation of f(x) is in vertex form, f(x) = a(x - h)² + k. h and k are the x and y values, respectively, of the vertex.

f(x) = −3(x − 9)² − 6

h = 9

k = 6

Vertex: (9, 6)

f(9) = -3(9 - 9)² - 6

= 0 + 6 = 6