Plug the x-values into the original equation. If you get the same y-values, then the points are valid.
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Turning points are the points at which a graph changes direction from increasing o decreasing or decreasing to increasing.
No. Three points do. Two points determine a line.
nonlinear graph
Two. Two points determine a line. Three points determine a plane.
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.