SOLUTION: Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7, 0).

Algebra.Com
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).
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The vertex form of the equation of a parabola that opens to the right with vertex (h,k) is



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.

Then, since the vertex is (0,0) and the directed distance p from the vertex to the focus is 7, the equation is



or


RELATED QUESTIONS

write an equation of a parabola that opens to the left has a vertex at the origin and a... (answered by lwsshak3)
Write an equation of a parabola with vertex at the origin and the given focus. 1. focus... (answered by lwsshak3)
write an equation of a parabola with its vertex at the origin and the given... (answered by lwsshak3)
Write an equation of a parabola with a vertex at the origin and the given focus focus at (answered by lwsshak3)
Write an equation of a parabola with a vertex at the origin and the given focus Focus at (answered by josgarithmetic)
Write an equation of a parabola with vertex at the origin and the given focus. (0,... (answered by ewatrrr)
write an equation of a parabola with vertex at the origin and the given focus,... (answered by josgarithmetic)
write an equation of a parabola with vertex at the origin? focus at... (answered by stanbon)
Write the equation of a parabola with the vertex at the origin and focus at (-4,0)? (answered by MathLover1,ewatrrr)