SOLUTION: can I ask this for last time, it's just that the other answer is correct but will use another equation. axis vertical and passing through (0,0),(1,0),(5,-20) using the equatio

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Question 1187729: can I ask this for last time, it's just that the other answer is correct but will use another equation.
axis vertical and passing through (0,0),(1,0),(5,-20)
using the equation: (x-h)^2=-4a(y-k)
thank you so much, sorry for the inconvenience
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
I did this quickly on paper, and have not rechecked this result yet:





---


The first two given points show the obvious roots.
If Q is a nonzero factor,

A few simple algebra steps using the last given point,


Continuing with
multiplying, and later completing the square,
.
.

Or if you want the form to be as
then find that



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

can I ask this for last time, it's just that the other answer is correct but will use another equation.
axis vertical and passing through (0,0),(1,0),(5,-20)
using the equation: (x-h)^2=-4a(y-k)
thank you so much, sorry for the inconvenience 
The x-value that's MIDWAY between the 2 ROOTS is the x-coordinate of the vertex, or h. 
With the ROOTS being (0, 0) and (1, 0), 

 
 ----- Substituting  for h, and (0, 0) for (x, y)
      


 
 -- Substituting  for h, and (5, - 20) for (x, y)
 
      ----- Substituting  for 4ak
  

       
       ----- Substituting 

  
  ------ Substituting  for h, , and  for k
  <===== Correct equation
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