How to Make a Quadratic Equation from a Graph
If you see the vertex and the roots on the graph, you can write the equation using the vertex form y = a(x-h)^2 + k or the factored form y = a(x-r1)(x-r2). Find 'a' by plugging in another point.
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To form a quadratic equation from a graph, identify three points on the parabola, preferably including the vertex and another point on each side. Then, substitute these points into the quadratic form y = ax^2 + bx + c to solve for a, b, and c. Voila, you've got your equation!
Honestly, if your eyes are trained well, you can guesstimate the equation by visualizing symmetry and intercepts! Just kidding, math rules!
Just find the vertex and a point, then use the vertex form.
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