document.write( "Question 756279: write the standard form of the equation of the parabola with its vertex (0,0)and focus at (0,5). \n" ); document.write( "
Algebra.Com's Answer #467956 by DSMLMD(16)![]() ![]() You can put this solution on YOUR website! Vertex (0,0) and Focus at (0,5) \n" ); document.write( " \n" ); document.write( "Vertex: \n" ); document.write( "(0,0) \n" ); document.write( "(a,b) \n" ); document.write( " \n" ); document.write( "Focus Point: \n" ); document.write( "(0,5) \n" ); document.write( "(0,p) \n" ); document.write( " \n" ); document.write( "we get p = 5 \n" ); document.write( " \n" ); document.write( "So because the point of focus located in y-coordinate, so the parabola equation is: \n" ); document.write( " \n" ); document.write( "(x - a)^2 = 4p(y - b) \n" ); document.write( "(x - 0)^2 = 4(5)(y - 0) \n" ); document.write( "x^2 = 20y \n" ); document.write( " \n" ); document.write( "The parabola equation is x^2 = 20y or x^2 - 20y = 0 \n" ); document.write( " |