SOLUTION: Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at      Log On


   

Question 206469: Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.
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y = (x-2)^2 has one solution with multiplicity 2.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x-2%29%5E2%29
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y = (x^2-4) has two solutions.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%5E2-4%29%29
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If the graph just touches the x axis the quadratic has one solution.
If the graph passes thru the x axis at two points the quadratic has two zeroes.
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Cheers,
stan H.