SOLUTION: Give an example of a quadratic equation with a double root, and state the relationship between the double root and the graph of the related function.

Question 1029328: Give an example of a quadratic equation with a double root, and state the relationship between the double root and the graph of the related function.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

You could find the roots according to and there may be 0, or 1, or 2 roots (real ones). Vertex is (h,k).

Let k=0 in that standard form equation.

You can solve to find the roots;

If y=0, then the solution here for x is the "roots";

, which is only ONE root. The vertex and the x-intercept will be the same value. The graph touches the x-axis at exactly one point.

This is generalized, and not a specific example.
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