How to Write a Quadratic Equation from a Graph
Here’s a hot take: just use software or an online calculator! It’s quick and saves you the math headache.
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Locate the vertex and one point on either side of it. Use y = a(x-h)^2 + k for the vertex form, then find 'a' by plugging in your point.
I always pick three points on the graph, set up a system of equations with y = ax^2 + bx + c, and solve for a, b, and c. Works like a charm!
Just find the vertex (the highest or lowest point) and a couple of other points on the graph, then use the standard form y = ax^2 + bx + c. Plug in those points to solve for a, b, and c!
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