1 / 13

The Graphs of Quadratic equations in completed square form

The Graphs of Quadratic equations in completed square form. Quadratic Equations. Quadratics in completed square form. Introduction. The graphs of functions written in the form y = (x-a) 2 +b or y = b-(x-a) 2 are examined using the graphic calculator. Minimum.

taniel
Download Presentation

The Graphs of Quadratic equations in completed square form

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. The Graphs of Quadratic equations in completed square form Quadratic Equations

  2. Quadratics in completed square form Introduction The graphs of functions written in the form y = (x-a)2+b or y = b-(x-a)2 are examined using the graphic calculator

  3. Minimum Quadratics in completed square form Press Y= and enter the function y = (x-4)2+2 in Y1 Select FORMAT and choose GridOn Press ZOOM and select 6:ZStandard Press GRAPH

  4. Quadratics in completed square form The graph is that of a quadratic with a minimum at (4,2)

  5. Quadratics in completed square form Change the graph in Y1 to read y = (x-6)2+1 Draw the graph again and note the minimum.

  6. Equation of the quadratic Coordinates of the minimum Repeat the above procedure for each of the graphs shown noting the minimum for each graph.

  7. Quadratics in completed square form Complete the statement The equation y = (x-a)2+b has a minimum at the point ( , )

  8. Maximum Quadratics in completed square form Press Y= and enter the function y = 6 - (x-2)2 in Y1 Select FORMAT and choose GridOn Press ZOOM and select 6:ZStandard Press GRAPH

  9. Quadratics in completed square form The graph is that of a quadratic with a maximum at (2,6)

  10. Quadratics in completed square form Change the graph in Y1 to read y = 3 - (x-5)2 Draw the graph again and make a note of the maximum.

  11. Equation of the quadratic Coordinates of the maximum Repeat the above procedure for each of the graphs shown noting the maximum for each graph.

  12. Quadratics in completed square form Complete the statement The equation y = b-(x-a)2 has a maximum at the point ( , )

  13. Quadratics in completed square form Consider the function y = 2(x-4)2+3. Enter this function in Y1 and draw the graph. State the minimum Try different values for k , a and b in the formula y = k(x - a)2 + b and use the graphs to help you to make a statement regarding the minimum value of functions of this form. Repeat the exercise for functions of the form y = b - k(x - a)2

More Related