Algebra 2 4-2 Complete Lesson: Standard Form of a Quadratic Function

Problem 2 Got It? What is the graph of the function? Use the vertex, y-intercept, and axis of symmetry to sketch the graph. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? The Zhaoshou Bridge in China is the oldest known arch bridge, dating to AD 605.

You can model the support arch with the function below where x and f are measured in feet. Graph the function. Zoom and pan your graph to establish an appropriate viewing window. Keep in mind that negative values for x and y are not applicable.

Problem 4 Got It? The Zhaoshou Bridge in China is the oldest known arch bridge, dating to AD 605.

You can model the support arch with the function below where x and f are measured in feet. How high is the arch above its supports? You may refer to your graph in the previous item.

Graphing: Graph the function. Sketch the function yourself before using a graphing utility, like the embedded Desmos graphing calculator, to check your work. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Graphing: Graph the function. Sketch the function yourself before using a graphing utility, like the embedded Desmos graphing calculator, to check your work. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 1-4: Solve the equation. Enter only a number in decimal form.

Review Lesson 3-2: Classify each system to indicate which is better-suited to solving by substitution and which is better-suited to solving by elimination.

One system should be classified as substitution and one should be classified as elimination.

Review Lesson 4-2: Identify the vertex, axis of symmetry, the maximum or minimum value, and the domain and range of the function. Use each draggable value once.

Vocabulary Review: Drag the tags to label the functions based on whether or not they are in standard form.

Use Your Vocabulary: Identify the graph(s) of quadratic functions.

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

Solve It! What is the maximum height of the ball?