SOLUTION: 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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: 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      Log On


   



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

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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
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Complete the square:
4x^2+5x = y+1
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4(x^2+(5/4)x+(5/8)^2) = y+1+4(5/8)^2
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4(x+(5/8))^2 = y + (16/16)+(25/16)
(x+(5/8))^2 = (1/4)(y+(41/16))
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Vertex: (-5/8 , -41/16)
Axis: x = -5/8
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Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4x%5E2%2B5x-1%29
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Cheers,
Stan H.