Algebra 2 4-9 Guided Practice: Quadratic Systems

Last updated almost 3 years ago
19 questions
3

Video Check: Select all that apply with regards to the video embedded directly above this item.

20

Solve It! One way to draw a mouth on the face shown above is to graph the quadratic function below with the given domain restrictions.

What second quadratic function would you graph to open the mouth?
◆ Click here to open the image and overlayed smile parabola on Desmos.
◆ Add a new quadratic equation to create an open mouth.
◆ Take a screenshot of the face with the open mouth you created.
◆ Upload or paste your screenshot to the canvas.

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Define quadratic/linear system.

5

Take Note: How many solutions are possible in a quadratic system of one quadratic equation and one linear equation? Select all that apply.

10

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions.
(A system containing one quadratic equation and one linear equation.)

  • Click the graph tab.
  • Choose the correct graph type.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
10

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions.

*A system containing one quadratic equation and one linear equation.

  • Click the graph tab.
  • Choose the correct graph type.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
10

Take Note: Graph an example of a quadratic/linear system of two equations that has exactly one solution.

  • Click the graph tab.
  • Choose the correct graph type.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
10

Problem 1 Got It?

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Problem 2 Got It?

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Problem 3 Got It?

10

Problem 3 Got It?

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10
10

Problem 4 Got It?
  1. Graph the solution of the system of inequalities at desmos.com.
  2. Zoom and pan your graph to establish an appropriate viewing window.
  3. Capture a screenshot of your graph and upload or paste it onto the Formative canvas.
  4. Use the Formative canvas tools and a bright, contrasting color to shade in the region of solutions (over the shading created by Desmos).
y\leq -x^{2}-4x+3
y\geq x^{2}+3

10

Problem 4 Got It? Reasoning: How many solutions are possible in system of inequalities? Select all that apply.

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?