Question

What is the axis of symmetry and vertex for the graph `y = 5x^2 + 4x - 1`?

Answer 1

Vertex`(-2/5, -9/5)`

Explanation:

x-coordinate of vertex, or axis of symmetry:
`x = -b/(2a) = -4/10 = -2/5`
y-coordinate of vertex, with `x = -2/5` -->
`y(-2/5) = 5(4/25) - 4(2/5) - 1 = 4/5 - 8/5 - 1 = -9/5`
Vertex `(-2/5, -9/5)`