Algebra 2 4-9 Complete Lesson: Quadratic Systems

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 your screenshot to the canvas. Resize as needed.

Problem 4 Got It? Graph the solution of the system of inequalities. Zoom and pan your graph to establish an appropraite viewing window.

Problem 4 Got It? Reasoning: How many solutions can a system of inequalities have? Select all that apply.

Solve the system by substitution.

Solve the system by substitution.

Solve the system by substitution.

Solve the system by graphing. Zoom an pan your graph to establish an appropriate viewing window.

Solve the system by graphing. Zoom an pan your graph to establish an appropriate viewing window.

Compare and Contrast: How are solving systems of two linear equations or inequalities and solving systems of two quadratic equations or inequalities alike? How are they different?

Reasoning: How many points of intersection can the graphs of a linear function and a quadratic function have? Select all that apply.

Graphing: Graph a linear function and a quadratic function that have no points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph a linear function and a quadratic function that have exactly 1 point of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph a linear function and a quadratic function that have exactly 2 points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Reasoning: How many points of intersection can the graphs of two quadratic functions have? Select all that apply.

Graphing: Graph two quadratic functions that have no points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph two quadratic functions that have exactly one point of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph two quadratic functions that have infinitely many points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Reasoning: How many points of intersection can the graphs of two absolute value functions have? Select all that apply.

Graphing: Graph two absolute value functions that have no points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph two absolute value functions that have exactly one point of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph two absolute value functions that have exactly two points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Graphing: Graph two absolute value functions that have infinitely many points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 4-8: Match each expression with its sum or difference.

Review Lesson 4-7: Identify a, b, and c for the quadratic function.

Review Lesson 1-3: Simplify the expression by combining like terms.

Review Lesson 1-3: Simplify the expression by combining like terms.

Vocabulary Review: Identify the true statement(s). Select all that apply.

Use Your Vocabulary: Which graph does NOT illustrate a quadratic-linear system ?

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success