document.write( "Question 1119191: Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7, 0). \n" ); document.write( "

Algebra.Com's Answer #734668 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The vertex form of the equation of a parabola that opens to the right with vertex (h,k) is

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

\n" ); document.write( "In that formula, p is the directed distance from the vertex to the focus; since in this problem the parabola opens to the right, p is positive.

\n" ); document.write( "Then, since the vertex is (0,0) and the directed distance p from the vertex to the focus is 7, the equation is

\n" ); document.write( " $\"%28x-0%29%5E2+=+%281%2F4%287%29%29%28y-0%29%5E2\"$

\n" ); document.write( "or

\n" ); document.write( " $\"x+=+%281%2F28%29%28y%5E2%29\"$ \n" ); document.write( "

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