Lesson 4
1. Lesson 4
1.9. Explore 4
Module 3: Quadratics
Try This 3
Use the gizmo titled “Quadratics in Vertex Form—Activity A” to see if you can predict whether a quadratic function will have zero, one, or two x-intercepts if the function is expressed in vertex form. Use the sliders to vary the values of a, h, and k. Choose “Show vertex and intercepts(s)” to see the coordinates of the vertex and the x- and y-intercepts for each function that you create.
Screenshot reprinted with permission of ExploreLearning.
Alternatively, you can manually create sketches of graphs of functions in vertex form using your graphing calculator or using the applet Quadratic Function: Vertex Form.
No matter which method you choose, be sure to organize the information you collect so you can look for connections or patterns. You may choose to organize your information in a chart, take screenshots of specific combinations of values, or sketch graphs of the quadratic functions in vertex form.
Self-Check 4
If you feel you need a bit more practice, you may complete all or parts of “Check Your Understanding” questions 1, 2, 3 and “Practising” questions 4, 5, and 8 on pages 363 to 365 of the textbook. When you finish a question, check your work using the shortened answers given on pages 555 and 556 at the back of the textbook. If you are still unclear about how to answer some questions, make sure to contact your teacher to ask about those questions and get some assistance.
Recall from the Course Introduction that you will be creating your own course glossary. Open the Glossary Terms document that you saved to your course folder, and add in any new terms. You might choose to add the following term to your copy of Glossary Terms:
- vertex form