9.1 quadratic functions

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9.1 Quadratic Functions. Algebra 17.0, 21.0. Main Idea & Vocab. This chapter is all about quadratics! We begin our parabola journey with the basics in this lesson. Q uadratic equation : written in the form y= a x 2 + b x + c . - PowerPoint PPT Presentation

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  • 9.1 Quadratic FunctionsAlgebra 17.0, 21.0

  • Main Idea & VocabThis chapter is all about quadratics!We begin our parabola journey with the basics in this lesson.

    Quadratic equation: written in the form y=ax2 + bx + c.

    Parabola: the curve created when you graph a quadratic equation.

    Vertex: the center point which is the highest or lowest point of a parabola.

  • VocabularyDomain: the set of all x values of a function.

    Range: the set of all y values of a function.

    Function: A relation where every domain value is paired with exactly one range value. One to one!

  • Quadratics

  • Ex 1 Points On the GraphEx. 1: Points on GraphSubstituteSolveYes or No?

  • Practice 1

  • Ex 2 Graphing QuadraticsEx. 2 GraphingMake a table of at least 5 points

    2) Plug in each x to find each y

    3) Plot each point and connect with a curve

  • Practice

  • Ex 3- Identifying the Direction of a ParabolaWhen a quadratic is written in the form y=ax2 + bx + c, the value of a determines the direction the parabola opens!

  • Practice 3

  • Ex 4- Minimum & Maximum

  • Ex 4- Minimum & Maximum

  • Practice 4

  • Example 5Step 1: Identify the maximumStep 2: Find the domain and range.

  • ReviewWhat is the standard form of a quadratic equation?How do you know if a point is on the curve?How do you graph a quadratic equation?How do you identify the direction of a quadratic equation?How do you find the minimum and maximum value of a quadratic?

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