Explain how the graph of a quadratic function relates to the solutions of the related quadratic equation.

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12-07-2017
Mathematics

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Explain how the graph of a quadratic function relates to the solutions of the related quadratic equation.

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DUmbdood DUmbdood · Answer 1 · 2020-06-16T09:46:09+02:00

Answer:

The zeros of a quadratic function are the solutions of the related quadratic equation. If the graph of a quadratic function crosses the x-axis, there will be two real number solutions. If the graph of a quadratic function just touches the x-axis, there will be one unique real number, or double root, solution. If the graph of a quadratic function does not cross the x-axis, there will be no real number solution.

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pstnonsonjoku pstnonsonjoku · Answer 2 · 2022-04-25T18:16:59+02:00

The two solutions of the quadratic equation are the two points at which the curve cuts the x axis.

What is a quadratic equation?

A quadratic equation is an equation of the sort; ax^2 +bx +c =0. Wheen we solve a quadratic equation, we get two values; x1 and x2.

The graph is not shown here hence we can not really know the numerical solutions of the equation. However, the two solutions of the quadratic equation are the two points at which the curve cuts the x axis.

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