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Finding parabola equation and only given a graph

  • Thread starter stuffradio
  • Start date
  • #1

Homework Statement



The math problem I am supposed to do is, find an equation for the given graph.

Homework Equations


There are no equations given, but here's an image for it.
24gne5i.png



The Attempt at a Solution


I understand there is an equation like
y=ax^2+bx+c but I'm not sure how I can apply it to this graph. I know the Vertex of the Parabola is (0,5) and the line of symmetry I think it's called is x=0, but what I'm confused at is what the actual equation would be.

If anyone can give me a clue as how I can solve it, that would be great!
 

Answers and Replies

  • #2
901
2
Put it in vertex form [tex]y = a(x + h)^2 + k[/tex] where h is the x value of the vertex and k is the y value. The answer should then be [tex]y = ax^2 + 5[/tex], you can solve for a by plugging in values of x, y and then isolate a, there is a clear one [tex](1, 4)[/tex]. I don't know if I can give this much information though.
 
  • #3
Wow, I'm impressed this was answered so quickly! Thanks!
So is this a standard equation that can be used for solving all parabola's?
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
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Wow, I'm impressed this was answered so quickly! Thanks!
So is this a standard equation that can be used for solving all parabola's?
Especially at 1 AM!:wink:

Yes, that formula is true for all parabolas with vertical axis.
 

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