Question

The vertex of f(x) = 2x² + 12x + 36

Answer 1

Explanation:

You can graph it to find the vertex or massage this equation into vertex form. Thirdly , if you know calculus, you can take the first derivative and set it = 0 .

y = 2x^2 + 12x + 36 Arrange to vertex form by completing the square

2 ( x^2 + 6x) + 36

2 ( x+3)^2 -18 + 36

2 (x+3)^2 + 18 <====vertex fom Vertex is -3,18

By graphing: see image

By calculus

derivative 4x + 12 = 0

x = -3 use this value in the original equation to find y = 18

(-3,18)

Answer 2

vertex = (-3, 18)

Explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).