SOLUTION: FIND THE EQUATION OF THE PARABOLA: Axis vertical and passing through (0,0) , (1,0) and (5,-20) the equation pls thank you so much:)

Question 1187578: FIND THE EQUATION OF THE PARABOLA:
Axis vertical and passing through (0,0) , (1,0) and (5,-20)
the equation pls thank you so much:)
Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Axis vertical and passing through (0,0) , (1,0) and (5,-20)
the equation of the parabola is:

Since the parabola passes through the point (,), then
so we have

Since the parabola passes through the point (,), then

......solve for
........eq.1
Since the parabola passes through the point (,-20), then
........substitute from eq.1

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

your equation is:

Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

            It can be done in much simpler way,

and I just answered this question/problem yesterday under the link

https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.1187461.html

https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.1187461.html

showing this simpler way.

It is interesting to me, if you read, at all, the solutions, that the tutors develop for you and post to you ?

And if you read them, then for what reason do you post the duplicate requests, without explaining the meaning WHY you do that.

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

The function has zeros at 0 and 1, so the equation is of the form

or

Use the coordinates of the other given point to determine the constant a:

The equation of the parabola is

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