Question

What is the the vertex of `y=2x^2+5x +12`?

Answer 1

`(-5/4, 71/8)`

Explanation:

The x-value of the vertex is found from the expression `-b/(2a)`
`b = 5` and `a = 2` so `x = -5/4`
Substitute this into the original equation to get the y value of the vertex.
`y = 2*(-5/4)^2 + 5*(-5/4) + 12`
`y = 25/8 -25/4 +12`
`y = (25 - 50 +96)/8 =71/8`
The vertex is `(-5/4, 71/8)`