[PDF] 9 2 study guide and intervention solving quadratic equations by graphing

  • How can we solve a quadratic equation by graphing and how many solutions we could have in different cases?

    These points are known as the “roots” of the quadratic. There are three cases to consider when solving quadratic equations using the graph of �� = �� ( �� ) : If the curve crosses the �� - a x i s twice, �� ( �� ) = 0 has two solutions. If the curve touches the �� - a x i s at a single point, �� ( �� ) = 0 has one solution.
  • When solving a quadratic by graphing what are you looking for on the graph?

    Answer and Explanation:
    If you are looking at the graph of a quadratic equation, then the solutions are equal to the x-coordinates of the points where the graph intersects the x-axis. These points are called the x-intercepts of the graph, and they coincide with the solution to the equation.
  • Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
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