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:

the line of

care to share were the trapezoid shown is ?