Educator

Solving Quadratic Equations by Graphing

• A quadratic equation has 2 real roots if its graph has 2 x-intercepts, one real root if it has 1 x-intercept (in this case, the graph is tangent to the x axis), and no real roots if it has no x-intercepts.

• If a root is not an integer, estimate the root by stating the two consecutive integers it lies between.

• A real number is a zero of the quadratic function f(x) if and only if it is a root of the equation f(x) = 0.