Graph and write equations of parabolas

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Presentation transcript:

Graph and write equations of parabolas Chapter 9-2 larson Algebra II Dr. Guram

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?

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: http://www.corestandards.org/Math/Content/HSA/CED /A/1/ Spring Board Algebra 2 workbook Larson algebra 2 textbook

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.

Parabola diagram

Parabola diagram

Parabola diagram

Parabola diagram

Standard equation of a parabola

Example 1: graph an equation of a parabola

Example 1: graph an equation of a parabola

Example 2: write an equation of a parabola

Guided practice examples

Example 3: real world problem

Example 3: real world solution

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?

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

Classwork/Homework - worksheet