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Algebra 1B Chapter 10: Quadratic Equations and Functions Lesson 10-2: Quadratic Functions

Algebra 1B Chapter 10: Quadratic Equations and Functions Lesson 10-2: Quadratic Functions. Goals : Graph quadratic functions of the form y = ax 2 + bx + c. Graph quadratic inequalities. Quadratic Functions.

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Algebra 1B Chapter 10: Quadratic Equations and Functions Lesson 10-2: Quadratic Functions

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  1. Algebra 1BChapter 10: Quadratic Equations and FunctionsLesson 10-2: Quadratic Functions Goals: Graph quadratic functions of the form y = ax2 + bx + c. Graph quadratic inequalities.

  2. Quadratic Functions • quadratic function: A quadratic function is a function that can be written in the form y = ax2 + bx + c, where a ≠ 0. This form is called the standard form of a quadratic function.

  3. Parabolas • parabola: The graph of a quadratic function is called a parabola. • The line that divides the parabola in to two matching halves is the axis of symmetry.

  4. Vertex • vertex: The highest or lowest point of a parabola is its vertex, which is on the axis of symmetry. If a > 0 in y = ax2 + bx + c, the parabola opens upward and the vertex is the minimum point of the parabola. If a < 0 in y = ax2 + bx + c, the parabola opens downward and the vertex is the maximum point of the parabola.

  5. Graphing Quadratic Functions: • The value of a in y = ax2 + bx + c also tells us how wide the parabola is. • x = -b/(2a) is the equation of the vertical line that is the line of symmetry of the parabola and it is the x-coordinate of the vertex of the parabola. • c is the y-intercept of the parabola.

  6. Assignments and a Note: • Examples: 10-2: #5-10. • Class work: Reteaching 10-2. • Homework 10-2: #12, 15, 16, 24, 27, 30. • Concept Quizzes Thursday.

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