SOLUTION: find the equation of a parabola through (-1,-3) and (2,3/2), whose axis is parallel to the y-axis and latus rectum equal to 6. Thanks for the help. :)

SOLUTION: find the equation of a parabola through (-1,-3) and (2,3/2), whose axis is parallel to the y-axis and latus rectum equal to 6. Thanks for the help. :)

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Question 891029: find the equation of a parabola through (-1,-3) and (2,3/2), whose axis is parallel to the y-axis and latus rectum equal to 6.
Thanks for the help. :)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Using the value of the latus rectum,

Now use both points,

1.
.
.
.

2.
Subtracting eq. 2 from eq. 1,

Then,

So then the equation is,

.
.
.

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