Question 430517
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
----
Complete the square:
4x^2+5x = y+1
----
4(x^2+(5/4)x+(5/8)^2) = y+1+4(5/8)^2
----
4(x+(5/8))^2 = y + (16/16)+(25/16)
(x+(5/8))^2 = (1/4)(y+(41/16))
---
Vertex: (-5/8 , -41/16)
Axis: x = -5/8
---
Graph:
{{{graph(400,300,-10,10,-10,10,4x^2+5x-1)}}}
==============
Cheers,
Stan H.