document.write( "Question 1203574: Vertex (3,2) and Focus at (4,2) \n" ); document.write( "

Algebra.Com's Answer #839248 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Note it is poor practice to post relevant data without asking a question....

\n" ); document.write( "The focus is 1 unit to the right of the vertex, so the parabola opens to the right.

\n" ); document.write( "One form of the equation for that kind of parabola is

\n" ); document.write( " $\"x-h=%281%2F%284p%29%29%28y-k%29%5E2\"$

\n" ); document.write( "where (h,k) is the vertex and p is the directed distance from the vertex to the focus.

\n" ); document.write( "With the vertex at (3,2) and the focus 1 unit to the right, h=3, k=2, and p=1:

\n" ); document.write( " $\"x-3=%281%2F4%29%28y-2%29%5E2\"$

\n" ); document.write( "An alternative equivalent form is

\n" ); document.write( " $\"%28y-2%29%5E2=4%28x-3%29\"$

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

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