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Chapter 10 Final Exam Review
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Section 10.1 “Graph y = ax² + c”
Quadratic Function A nonlinear function that can be written in the standard form y = ax² + bx + c where a = 0. The graph of a quadratic function is in the form of a U-shape and called a parabola.
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Graphing: y = ax² + c y = x² y-axis x-axis Vertex- Axis of Symmetry-
“Parent Quadratic Function” x y 1 1 2 4 3 9 -1 1 -2 4 x-axis -3 9 Vertex- the lowest or highest point of the parabola Axis of Symmetry- the line that divides a parabola into 2 symmetric parts
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Section 10.4 “Use Square Roots to Solve Quadratic Equations”
To use square roots to solve a quadratic equation of the form ax² + bx + c = 0, first isolate x² on one side of the equation to obtain x² = d. Solving x² = d by Taking Square Roots Examples - If d > 0, then x² = d has two solutions: - If d = 0, then x² = d has one solution: - If d < 0, then x² = d has no solution: no solution no solution
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Try It Out…
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Section 10.5 “Solve Quadratic Equations by the Quadratic Formula”
To solve any quadratic equation of the form ax² + bx + c = 0, you can use the QUADRATIC FORMULA.
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Try It Out… Solve using the quadratic equation Write in standard form
Substitute for a, b, and c
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