document.write( "Question 539563: Find the equation of the parabola whose axis is parallel to the y-axis, with vertex (1,3) and containing the point (5,7) \n" ); document.write( "
Algebra.Com's Answer #353519 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Find the equation of the parabola whose axis is parallel to the y-axis, with vertex (1,3) and containing the point (5,7).
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for given parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "..
\n" ); document.write( "y=A(x-h)^2+k
\n" ); document.write( "using coordinates of given vertex (1,3)
\n" ); document.write( "y=A(x-1)^2+3
\n" ); document.write( "using coordinates of given point (5,7)
\n" ); document.write( "7=A(5-1)^2+3
\n" ); document.write( "7=A(16)+3
\n" ); document.write( "16A=4
\n" ); document.write( "A=4/16=1/4
\n" ); document.write( "..
\n" ); document.write( "Equation of given parabola: y=(1/4)(x-1)^2+3
\n" ); document.write( "
\n" );