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

 The equation of the axis of symmetry is and the co-ordinates of the vertex are

Step-by-step explanation:  We are given to find the axis  of symmetry and the coordinates of the vertex of the graph of the following function:

The given equation (i) describes a parabola.

The standard equation of a parabola in vertex form is given by

where the co-ordinates of the vertex are (h, k) and the equation of axis of symmetry is

From equation (i), we have

Comparing with the vertex form, we get

and the equation of axis of symmetry is

Thus, the equation of the axis of symmetry is and the co-ordinates of the vertex are

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

step-by-step explanation:

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