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Algebra 1

Relate Zeros to the Factored Form of Quadratic Equations

Algebra 1Relate Zeros to the Factored Form of Quadratic Equations
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In this unit, you learned about the relationship between the factored form of a quadratic equation, its zeros, and its graph.

  1. What is the factored form of the quadratic equation represented by the graph? Explain how you found your answer. Graph of a parabola that opens upward with x-intercepts of negative 4 and 6.
  2. How many times does the graph of the equation ( 𝑥 − 5 ) ( 𝑥 − 5 ) = 0 ( 𝑥 − 5 ) ( 𝑥 − 5 ) = 0 intersect with the x x -axis? Be prepared to show your reasoning.
  3. The equation x − 8 x + 20 = 0 x − 8 x + 20 = 0 is shown in the graph. How many solutions does the equation have? Be prepared to show your reasoning.
Graph of a parabola that opens upward with no x-intercepts and a y-intercepts of 20.
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