Question

What is the vertex form of `y= x^2+5x-14`?

Answer 1

`y = (x + 5/2)^2 - 81/4`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = -5/2`
y-coordinate of vertex:
`y(-5/2) = 25/4 - 25/2 - 14 = -25/4 - 56/4 = - 81/4`
Vertex form:
`y = (x + 5/2)^2 - 81/4`
graph{x^2 + 5x - 14 [-40, 40, -20, 20]}