Question

What is the axis of symmetry and vertex for the graph `y = 4x^2 + 10x + 5`?

Answer 1

Vertex `(-5/4, -5/4)`

Explanation:

x-coordinate of vertex, or of the axis of symmetry:
`x = -b/(2a) = -10/8 = -5/4`
y-coordinate of vertex:
`y(-5/4) = 4(25/16) - 10(5/4) + 5 = - 5/4`
`vertex (-5/4, -5/4)`
graph{4x^2 + 10x + 5 [-2.5, 2.5, -1.25, 1.25]}