document.write( "Question 430517: find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function.
\n" ); document.write( "y=4x^2+5x-1 \n" ); document.write( "

Algebra.Com's Answer #298984 by stanbon(75887) $\"\"$ $\"About$

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find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function.
\n" ); document.write( "y=4x^2+5x-1
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\n" ); document.write( "Complete the square:
\n" ); document.write( "4x^2+5x = y+1
\n" ); document.write( "----
\n" ); document.write( "4(x^2+(5/4)x+(5/8)^2) = y+1+4(5/8)^2
\n" ); document.write( "----
\n" ); document.write( "4(x+(5/8))^2 = y + (16/16)+(25/16)
\n" ); document.write( "(x+(5/8))^2 = (1/4)(y+(41/16))
\n" ); document.write( "---
\n" ); document.write( "Vertex: (-5/8 , -41/16)
\n" ); document.write( "Axis: x = -5/8
\n" ); document.write( "---
\n" ); document.write( "Graph:
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4x%5E2%2B5x-1%29\"$
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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