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

The equation of the axis of symmetry is x =

The coordinates of the vertex are ( , ) ⇒ 2nd answer

Step-by-step explanation:

The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where

∵ y = 4x² + 5x - 1

∵ The form of the quadratic function is y = ax² + bx + c

∴ a = 4 , b = 5 , c = -1

∵ The coordinates of the vertex points are (h , k)

∵ h =

∴ h =

- To find k substitute x in the function by

∵ k = 4 ( )² + 5( ) - 1

∴ k = 4 ( ) + ( ) - 1

∴ k =    -  - 1

∴ k =

∴ The coordinates of the vertex are ( , )

∵ The equation of the axis of symmetry is x = h

∵ h =

∴ The equation of the axis of symmetry is x =

true

step-by-step explanation: