Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y=4x^2+5x-1

c) x=-5/8; vertex (-5/8, -5 11/16)
d) x=-5/8; vertex (-5/8, -2 9/16)

Axis of symmetry:

Vertex:

Step-by-step explanation:

The given quadratic equation is



By comparing to the general quadratic function;

We have a=4,b=5,c=-1

The equation of the axis of symmetry is given by the formula;



We got this formula by completing the square on the general quadratic function.

We substitute a=4 and b=5 to obtain;




is the axis of symmetry.

To find the y-value of the vertex, we put into the function to obtain;







The vertex of the given function is