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9-5 Study Guide and Intervention
Solve each equation by using the Quadratic Formula Round to the nearest tenth if necessary 1 2 – 3x + 2 = 0 2 2 – 8x |
Answers (Lesson 5-2)
Solving Quadratic Equations By Graphing Use the related graph of each equation to 5-3 Study Guide and Intervention Solving Quadratic Equations by Factoring |
Solving Quadratic Equations by Graphing
Study Guide and Intervention Solving Quadratic Equations by Graphing Lesson Therefore finding the x-intercepts is one way of solving the related quadratic |
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Graphing Quadratic Functions
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LT 31-34 Study Guide and Intervention
Graph the quadratic function Label the vertex axis of symmetry y-intercept x-intercept and their locations Maximum or minimum? Find the solutions (zeros) |
What are the strategies for solving quadratic functions?
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, leaving zero on the other side.What is a way you can solve this quadratic equation by graphing?
In order to find solutions to a quadratic equation using a graph: Rearrange so that one side of the equation matches the graphed function.
Write y= the other side of the equation and plot this function.
At the intersection points, draw vertical lines down to the x-axis to find the solutions.What are the 4 methods of solving quadratic equations?
Answer: There are various methods by which you can solve a quadratic equation such as: factorization, completing the square, quadratic formula, and graphing.
These are the four general methods by which we can solve a quadratic equation.Solving Quadratic Equations by Graphing
Solving Quadratic Equations by Graphing
1Let y1 = ax2 + bx + c and y2 = d.
2) Graph y1 and y2 on the same graph.
3) Find the intersection points of the two graphs.
The x-values of the intersection points are the solutions to your equation.
4) Check your answer with the original equation.
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Therefore, finding the x-intercepts is one way of solving the related quadratic equation Solve x2 + x - 6 = 0 by graphing Graph the related function f(x) = x2 + x - 6 |
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The roots of a quadratic equation can be found by graphing the related quadratic function f(x) = ax2 + bx + c and finding the x-intercepts or zeros of the function |
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