1 / 10

MAT 150 – Algebra Class #8

MAT 150 – Algebra Class #8. Topics: Standard and Vertex form of a Quadratic Function Finding Key Features of a Quadratic algebraically and graphically. Graphing Quadratics. Several key features can be determined from the standard form: Concavity Vertex (minimum or maximum)

kiefer
Télécharger la présentation

MAT 150 – Algebra Class #8

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MAT 150 – AlgebraClass #8 Topics: Standard and Vertex form of a Quadratic Function Finding Key Features of a Quadratic algebraically and graphically. Graphing Quadratics

  2. Several key features can be determined from the standard form: • Concavity • Vertex (minimum or maximum) • Axis of Symmetry • y-intercepts • X-intercepts • ALL QUADRATICS ARE A PARABOLA! Standard Form of a Quadratic Equation

  3. If a > 0, the parabola is concave up. If a < 0, the parabola is concave down. Determining Concavity

  4. Finding the Vertex (min/max)

  5. Vertex Form of a Quadratic

  6. Suppose the monthly revenue from the sale of Carlson 42-inch 3D televisions is given by the function dollars, where x is the number of televisions sold. • How many televisions must be sold to make a maximum amount of revenue? • What is the maximum amount of revenue to be made? • For how many televisions would the monthly revenue be increasing? Using the Vertex in a Real-Life Situation

  7. Steps • Find the vertex • Make a table of values centered around the vertex. (At least 5 points) • Graph on a coordinate plane. Graph the following: Graphing Quadratic Functions

  8. Finding x- and y-intercepts graphically

  9. A ball is thrown upward at 64 ft per second from the top of an 80-foot-high building given by the function . • How high does the ball go? • How long did it take to reach the maximum height? • When will the ball hit the ground? • How high is the ball when it is first thrown? • How long will it take the ball to reach a height of 130ft? Putting it all together

  10. Pg. 178-182 #1-4 all #21-24 all #57-63 all Assignment

More Related