Math 20-2

Chapter 6 Quadratic Functions

Lesson 6.2   Properties of Graphs of Quadratic Functions

GOAL

The goal of this lesson is stated at the top of page 325 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Identify the characteristics of graphs of quadratic functions, and use the graphs to solve problems.

Explore...

Try to answer the question in the sidebar on page 325.

Skis have seen a lot of changes in the last several years, and the side cut in the shape of a parabola is a (fairly) recent development.

Designing a set of skis would be amazing,  but since this is so subjective,  I won't be making a video here.

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 325 - 327

Read/Work through the Learn About the Math section on Pages 325-327 in your textbook.

Go through this material,  AS BEST YOU CAN,  before you view the video tutorials that follow.

You can view this video for a slightly different example that highlights the ideas of this lesson.
Just like with a bump in volleyball,  the basketball shot starts low,  climbs to a maximum height, then drops (and also nicely goes through the hoop)

Using symmetry to estimate the coordinates of the vertex

Video Tutorial   Learn A

THIS PAGE has the points and equations I used to create the next video.
I encourage you to follow along with the video and visually connect with the ideas being presented.

Video Tutorial   Learn B

Apply the Math  (Examples)

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the examples as models.

Example 2  Reasoning about the maximum value of a quadratic function

TEXT Pages 327 - 328

Work through Example 2 on Pages 327 - 328 in your textbook.

Watch

Video Tutorial

Your Turn

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 3  Graphing a quadratic function using a table of values

TEXT Pages 329 - 330

Work through Example 3 on Pages 329 - 330 in your textbook.

Watch

Video Tutorial

Your Turn

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 4  Locating a vertex using technology

TEXT Pages 330 - 331

Work through Example 4 on Pages 330 - 331 in your textbook.

Basketball Parabola

A similar scenario to the one in the example.
You can adjust the values of a, b and c to match the parabola to the images of the basketball.

LINK

Watch

Video Tutorial

Your Turn

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

In Summary

Key Ideas and Need to Know 
Presents and summarizes  the main new concepts of the lesson

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Check Your Understanding questions require basic understanding of the ideas of the  lesson.

Practising questions will require you to dig deeper for a solution.

Closing  A summary question that often asks YOU to explain ideas in your own words.

Extending questions offer enrichment and extension.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, {"Question 16", "Question 17", "Question 18", "Question 19", }})