peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall:...

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Transcript of peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall:...

Page 1: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 2: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 3: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 4: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 5: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 6: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 7: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 8: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 9: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 10: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 11: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 12: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 13: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
Page 14: peterseny.faculty.mjc.edupeterseny.faculty.mjc.edu/math90hybrid/Final Notes Ch 11.pdf · Recall: Quadratic equations look like ax + bx + c = 0 (2 solutions maximum) Ex a Solve —
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Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,

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Parabola Unit Intro Algebra I Chapter 9. Introduction Quadratic Functions Non-linear y = ax 2 + bx + c Physics Scenarios Graphs Symmetrical

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Ch8 Quadratic Equation Solving Methods General Form of Quadratic Equation ax 2 + bx + c = 0 A quadratic Equation: x 2 – 7x + 10 = 0a = _____ b = _____.

Ch8 Quadratic Equation Solving Methods General Form of Quadratic Equation ax 2 + bx + c = 0 A quadratic Equation: x 2 – 7x + 10 = 0a = _____ b = _____.

Graphing Quadratic Functions y = ax 2 + bx + c. Graphing Quadratic Functions Today we will: Understand how the coefficients of a quadratic function influence.

Graphing Quadratic Functions y = ax 2 + bx + c. Graphing Quadratic Functions Today we will: Understand how the coefficients of a quadratic function influence.

Quadratic Equations C.A.1-3. Solving Quadratic Equations If a quadratic equation ax²+bx+c=0 can’t be solved by factoring that means the solutions involve.

Quadratic Equations C.A.1-3. Solving Quadratic Equations If a quadratic equation ax²+bx+c=0 can’t be solved by factoring that means the solutions involve.

Graphing Quadratic Functions. 2 Forms of Quadratic Equations y = ax 2 + bx + c y = a(x – h) 2 + k Standard Form Vertex Form.

Graphing Quadratic Functions. 2 Forms of Quadratic Equations y = ax 2 + bx + c y = a(x – h) 2 + k Standard Form Vertex Form.

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Chapter 3 Quadratic Models. Ch 3 Quadratic Equation A quadratic equation involves the square of the variable. It has the form y = ax 2 + bx + c where.

Unit 5 - Solving Quadratic Equations · 2018-12-08 · Solving a Quadratic Equation Using the Quadratic Formula: 1. Write the equation in standard form: ax bx c2 ++=0. 2. Identify

Unit 5 - Solving Quadratic Equations · 2018-12-08 · Solving a Quadratic Equation Using the Quadratic Formula: 1. Write the equation in standard form: ax bx c2 ++=0. 2. Identify

Graphs of Quadratic Equations. Standard Form: y = ax 2 +bx+ c Shape: Parabola Vertex: high or low point.

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9.6 THE QUADRATIC FORMULA: Quadratic Formula: Formula used to find the solution(s) of any quadratic equation. If ax 2 +bx+c = 0 and a ≠ 0, then.

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Adapted from Walch Education Quadratic inequalities can be written in the form ax 2 + bx + c < 0, ax 2 + bx + c ≤ 0, ax 2 + bx + c > 0, or ax 2 + bx.

Adapted from Walch Education Quadratic inequalities can be written in the form ax 2 + bx + c < 0, ax 2 + bx + c ≤ 0, ax 2 + bx + c > 0, or ax 2 + bx.

9.2: QUADRATIC FUNCTIONS: Quadratic Function: A function that can be written in the form y = ax 2 +bx+c where a ≠ 0. Standard Form of a Quadratic: A function.

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1 EXPLORATION: Solving a Quadratic Equation by Graphing€¦ · Solving Quadratic Equations by Graphing Step 1 Write the equation in standard form, ax bx c2 ++=0. Step 2 Graph the

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Quadratic Functions. Definition of a Quadratic Function A quadratic function is defined as: f(x) = ax² + bx + c where a, b and c are real numbers and.

9.7 Graphs of Quadratic Inequalities p. 548. Forms of Quadratic Inequalities yax 2 +bx+c y≤ax 2 +bx+cy≥ax 2 +bx+c Graphs will look like a.

9.7 Graphs of Quadratic Inequalities p. 548. Forms of Quadratic Inequalities yax 2 +bx+c y≤ax 2 +bx+cy≥ax 2 +bx+c Graphs will look like a.

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