1 / 12

Quadratic Functions

Quadratic Functions. Section 2.2. Objectives. Rewrite a quadratic function in vertex form using completing the square. Find the vertex of a quadratic function. Find x -intercepts and y -intercepts of a quadratic function. Write a quadratic function given two points. . Objectives.

lysander
Download Presentation

Quadratic Functions

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. Quadratic Functions Section 2.2

  2. Objectives • Rewrite a quadratic function in vertex form using completing the square. • Find the vertex of a quadratic function. • Find x-intercepts and y-intercepts of a quadratic function. • Write a quadratic function given two points.

  3. Objectives • Solve a word problem involving a quadratic function. • Determine how a function has been transformed given an equation or a graph. • Given a description of a transformed function, write the equation of the new function.

  4. Vocabulary • quadratic function • parabola • standard form of a quadratic equation • completing the square

  5. Given the function below find the vertex, x-intercepts, and y-intercepts:

  6. Find a function whose graph is a parabola with vertex (-2, -9) and that passes through the point (-1, -6).

  7. The profit function for a computer company is given bywhere x is the number of units produced (in thousands) and the profit is in thousand of dollars.

  8. Determine how many (thousands of) units must be produced to yield maximum profit.

  9. Determine the maximum profit.

  10. Determine how many units should be produced for a profit of at least 40 thousand dollars.

  11. The graph of the functioncan be obtained from the graph of f(x) by what transformation?

  12. Given after performing the following transformations, write the equation of the new transformed function: • reflect over the x-axis • shift upward 48 units • shift 85 units to the right

More Related