SOLUTION: Find the equation of the parabola with latus rectum 6 joining ( -4, 1) and (2, 1).

Algebra.Com
Question 1190796: Find the equation of the parabola with latus rectum 6 joining ( -4, 1) and (2, 1).
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

the equation of the parabola with latus rectum joining (, ) and (, )
Length of latus rectum is , so the leading coefficient is ±

calculate and
use (, )

...........eq.1

and (, )

...........eq.2
then, from eq.1 and eq.2 we have



go to
...........eq.1, substitute


and, your equation is:





RELATED QUESTIONS

3. Find the equation of the parabola with latus rectum 6 joining ( -4, 1) and (2,... (answered by MathLover1)
Find the equation of parabola with vertex at (4, 2), latus rectum 20, and opens... (answered by greenestamps)
Find the equation of a parabola with vertex on the line y = x + 2, axis parallel to Oy,... (answered by MathLover1)
Find the equation of a parabola with vertex on the line y = x + 2, axis parallel to Oy,... (answered by MathLover1)
derive the equation of the parabola with its focus at (-2, -1) and whose latus rectum... (answered by josgarithmetic)
The focus at (-2,-1) and the latus rectum joins the points (-2,2) and (-2,-4).find the... (answered by Edwin McCravy)
Determine the vertex,focus,endpoints of Latus rectum, directrix and axis of symmetry of... (answered by greenestamps)
1) Find the equation of parabola, The length of the latus rectum is 20 and the parabola... (answered by greenestamps)
Please help me with this question :- Find the equation of the parabola whose focus is... (answered by greenestamps)