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Lesson 6

1. Lesson 6

1.11. Connect

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Connect

 

Lesson 6 Assignment


textbook

Open your copy of the Lesson 6 Assignment, which you saved in your course folder at the start of this lesson. Complete the assignment.


course folder Save your work in your course folder.

 

Project Connection


assessment

This is a play button that opens Module 4 Project: Imagineering.

© wong yu liang/29976438/Fotolia

Go to Module 4 Project: Imagineering. Complete Step 4: Marketing.



course folder Save your work in your course folder.

 

Going Beyond

 

The following graph shows the parabola with equation y = x2. How can you use algebra to determine the values of the slope of a linear function that would intersect a given parabola in one, two, or zero points?

 

This shows the graph of a parabola with equation y equals x squared and three lines all with positive slopes and y-intercept equal to –1. The blue line intersects the parabola in two points, the red line is tangent to the parabola, and the green line does not intersect the parabola at all.

 

Consider the system of equations represented by the graph.

 

y = x2
y = mx − 1

 

Solve this system to determine the values of m that would result in

  1. two solutions

  2. one solution

  3. no solutions

You may have to use what you learned about the discriminant in Lesson 4 in order to complete this exercise. Some aspects of the solution will be covered in the final lesson of this module, so you may wish to return to this problem after completing the module.

 

course folder Save your work in your course folder.