SOLUTION: Opens to the right, length of the latus rectum = 6, and passing through (2/3, 0) and (- 1/2, 7)

Question 1202880: Opens to the right, length of the latus rectum = 6, and passing through
(2/3, 0) and (- 1/2, 7)
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!
Opens to the right, length of the latus rectum = 6, and passing through
(2/3, 0) and (- 1/2, 7)

Parabola opening right has p > 0, equation



latus rectum = 4p = 6

Substitute (x,y) = 





Substitute (x,y) = 





Equating expressions for 6h





Substitute in 





Equation is:






Edwin

RELATED QUESTIONS
find the equation of the parabola whose vertex is at (h,k) and satisfying the given... (answered by lwsshak3)

Find the equation of a parabola with vertex on the line y = x + 2, axis parallel to Oy,... (answered by MathLover1)

with axis x=-2, length of the latus rectum = 6, and passing through (4,8). find the... (answered by lwsshak3)

Find the equation of the parabola with vertex on the line y = 2, axis parallel to Oy,... (answered by greenestamps)

Find the equation of the parabola with vertex on the line y = 2, axis parallel to Oy,... (answered by MathLover1)

Find the equation of parabola with vertex at (4, 2), latus rectum 20, and opens... (answered by greenestamps)

1) Find the equation of parabola, The length of the latus rectum is 20 and the parabola... (answered by greenestamps)

Find the equation of the parabola with latus rectum 6 joining ( -4, 1) and (2,... (answered by MathLover1)