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9.1 Quadratic Functions

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 .

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9.1 Quadratic Functions

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  1. 9.1 Quadratic Functions Algebra 17.0, 21.0

  2. Main Idea & Vocab • This 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.

  3. Vocabulary • Domain: 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!

  4. Quadratics

  5. Ex 1 – Points On the Graph Ex. 1: Points on Graph • Substitute • Solve • Yes or No?

  6. Practice 1

  7. Ex 2 –Graphing Quadratics • Ex. 2 Graphing • Make 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

  8. Practice

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

  10. Practice 3

  11. Ex 4- Minimum & Maximum

  12. Ex 4- Minimum & Maximum

  13. Practice 4

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

  15. Review • What 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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