Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.

Vertex:

Axis of symmetry:

The function is given by the equation:

In general for any quadratic equation of the type:

The coordinate of the vertex is: (h,k)

where

and

and the equation of axis of symmetry is:

Here we have:

i.e.

and

Hence, the vertex is:

and the axis of symmetry is given by:

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

do i do it on a graph?

step-by-step explanation: