Finding parabola equation and only given a graph

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SUMMARY

The discussion focuses on finding the equation of a parabola given its graph, specifically using the vertex form of the equation, y = a(x + h)^2 + k. The vertex of the parabola is identified as (0, 5), leading to the equation y = ax^2 + 5. To determine the value of 'a', participants suggest substituting known points from the graph, such as (1, 4), into the equation. The vertex form is confirmed as applicable to all parabolas with a vertical axis.

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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!
 
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Put it in vertex form y = a(x + h)^2 + k where h is the x value of the vertex and k is the y value. The answer should then be y = ax^2 + 5, you can solve for a by plugging in values of x, y and then isolate a, there is a clear one (1, 4). I don't know if I can give this much information though.
 
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?
 
stuffradio said:
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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