Question

What is the axis of symmetry and vertex for the graph `y=2x^2 -6x+1`?

Answer 1

`Vertex (3/2 , - 7/2)`

Explanation:

x-coordinate of vertex, and axis of symmetry:
`x = -b/(2a) = 6/4 = 3/2`
y-coordinate of vertex:
`y(3/2) = 2(9/4) - 6(3/2) + 1 = 18/4 - 18/2 + 1 =`
`=- 14/4 = - 7/2`
`Vertex (3/2, -7/2)`