Question

What is the vertex form of `y= x^2+5x-3`?

Answer 1

`y = (x + 5/2)^2 - 37/4`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = -5/2`
y-coordinate of vertex:
`y(-5/2) = 25/4 + (-5/2) - 3 = -25/4 - 12/4 = -37/4`
Vertex form of the function y:
`y = (x + 5/2)^2 - 37/4`