![]() ![]() Now, we can write our function for the quadratic as follows (since if we solve the following for 0, we'll get our 2 intersection points): X = 1 (since the graph cuts the x-axis at x = 1.) X = −2 (since the graph cuts the x-axis at x = − 2) and We can see on the graph that the roots of the quadratic are: (We'll assume the axis of the given parabola is vertical.) Parabola cuts the graph in 2 places Sometimes it is easy to spot the points where the curve passes through, but often we need to estimate the points. ![]() Our job is to find the values of a, b and c after first observing the graph. We know that a quadratic equation will be in the form: The parabola can either be in "legs up" or "legs down" orientation. The graph of a quadratic function is a parabola. (Most "text book" math is the wrong way round - it gives you the function first and asks you to plug values into that function.) A quadratic function's graph is a parabola Often we have a set of data points from observations in an experiment, say, but we don't know the function that passes through our data points. ![]() ![]() This is a good question because it goes to the heart of a lot of "real" math. I would like to know how to find the equation of a quadratic function from its graph, including when it does not cut the x-axis. ![]()
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