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Graph and write equations of parabolas

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Presentation on theme: "Graph and write equations of parabolas"— Presentation transcript:

1 Graph and write equations of parabolas
Chapter larson Algebra II Dr. Guram

2 How do we write the equation for a parabola?
Focus Questions How do we write the equation for a parabola? What are key features of a parabola?

3 Curriculum standards CLE 3103.3.11
- graph conic sections (parabolas) and understand the relationship between the standard form and the key characteristics of the graph. Sources: /A/1/ Spring Board Algebra 2 workbook Larson algebra 2 textbook

4 Academic language Parabola: the set of all points equidistant from a point called the directrix. The graph of a quadratic function y= ax^2 + bx + c is a parabola. Vertex of a parabola: the point on a parabola that lies on the axis of symmetry.

5 Parabola diagram

6 Parabola diagram

7 Parabola diagram

8 Parabola diagram

9 Standard equation of a parabola

10 Example 1: graph an equation of a parabola

11 Example 1: graph an equation of a parabola

12 Example 2: write an equation of a parabola

13 Guided practice examples

14 Example 3: real world problem

15 Example 3: real world solution

16 How do we write the equation for a parabola?
Review How do we write the equation for a parabola? What are key features of a parabola?

17 Review of terms define the mathematical terms: parabola, vertex of a parabola, focus, and directrix.

18 Classwork/Homework - worksheet


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