Question

What is the axis of symmetry and vertex for the graph `y=2x^2-3x+8`?

Answer 1

`Vertex (3/4, 55/8)`

Explanation:

`y = 2x^@ - 3x + 8`
x-coordinate of vertex, or of the axis of symmetry:
`x = -b/(2a) = 3/4`
y-coordinate of vertex:
`y(3/4) = 2(9/16) - 3(3/4) + 8 = 9/8 - 9/4 + 8 =`
`= -9/8 + 8 = 55/8`
`Vertex (3/4, 55/8)`