Question

What is the vertex of `y= 3x^2 + 9x − 4`?

Answer 1

`Vertex (-3/2, -43/4)`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = -9/6 = - 3/2`
y-coordinate of vertex:
`y(-2/3) = 3(9/4) - 9(3/2) - 4 = 27/4 - 27/2 - 4 =`
`= - 27/4 - 4 = - 43/4`
`Vertex (-3/2, -43/4)`