Question

What is the vertex of `y= x^2–3x- 12`?

Answer 1

Vertex (3/2, -57/4)

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = 3/2`
y-coordinate of vertex:
`y(3/2) = 9/4 - 9/2 - 12 = -9/4 - 48/4 = -57/4`
Vertex `(3/2, -57/4)`
graph{x^2 -3x - 12 [-40, 40, -20, 20]}