document.write( "Question 138701: The parabola with equation $\"y-3=%28x-4%29%5E2\"$ has it's vertex at (4,3) and passes through (5,4). Find an equation of a different parabola with its vertex at (4,3)that passes through (5,4). Can't seem to figure this out. Do i just switch the x and y?
\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #101210 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
The parabola with equation $\"y-3=%28x-4%29%5E2\"$ has it's vertex at (4,3) and passes through (5,4). Find an equation of a different parabola with its vertex at (4,3)that passes through (5,4). Can't seem to figure this out. Do i just switch the x and y?
\n" ); document.write( "

\r\n" );
document.write( "Here's the graph of  with the vertex (4,3) and \r\n" );
document.write( "the point (5,4).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "That is a parabola which opens upward.  Let's sketch in one in\r\n" );
document.write( "green that would have that same vertex(4,3) and pass through \r\n" );
document.write( "that same point (5,4). It will have to open to the right.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "A parabola which open to the right or left has equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So we substitute (h,k) = (4,3) \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we know that since (x,y) = (5,4) is a point on the\r\n" );
document.write( "graph, that point must satisfy the equation: \r\n" );
document.write( "\r\n" );
document.write( "So\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "Therefore the equartion is found by substituting \r\n" );
document.write( "\r\n" );
document.write( "into \r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );