Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function

B

given the equation of a parabola in standard form

y = ax² + bx + c : a ≠ 0

then the equation of the axis of symmetry which is also the x- coordinate of the vertex is obtained using

x = -

y = 4x² + 5x - 1 is in standard form

with a = 4, b = 5 and c = - 1

= -

hence axis of symmetry is x = -

to find the y-coordinate of the vertex substitute the x-coordinate into the equation

y = 4(- )² + 5(- ) - 1

  = - -

  = - = - 2

vertex = ( - , - 2 )

2

step-by-step explanation: