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Algebra 2 4-5 Complete Lesson: Quadratic Functions

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Last updated over 4 years ago
27 questions
Note from the author:
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A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
Solve It! As a part of an engineering project, your team is drawing a highway tunnel on a coordinate system. The tunnel opening is in the shape of a parabola. You need to finishe the drawing.
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F.IF.7.a
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Question 3
3.

Problem 2 Graphing: Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
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A.APR.3
A.CED.1
F.IF.7.a
Question 5
5.

Problem 3 Graphing: Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10
A.APR.3
A.CED.1
F.IF.7.a
Question 7
7.

Problem 4 Graphing: Graph the quadratic function. Zoom and pan your graph to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 8
8.

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Question 14
14.

Question 16
16.

Reasoning: Using tables, how might you recognize that a quadratic equation likely has exactly one solution? No solutions?

Question 17
17.

Review Lesson 4-4: Factor the expression.

Question 18
18.

Review Lesson 4-4: Factor the expression.

Question 19
19.

Review Lesson 4-4: Factor the expression.

Question 20
20.

Review Lesson 3-5: Solve the system by elimination. Show your work on the canvas. Write your solution in the space provided. Check your answer.

Question 21
21.

Question 22
22.

Review Lesson 4-4: Simplify the expression.

Question 23
23.

Review Lesson 4-4: Simplify the expression.

Question 24
24.

Question 25
25.

Question 26
26.

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.

Question 27
27.

Reflection: Math Success

Question 1
1.

Question 2
2.

Question 4
4.

Question 6
6.

Problem 4 Got It? The function below models the path of a kicked soccer ball. The height is y ,the distance is x, and the units are meters. Use the responses on the left to answer the questions on the right.
How far does the soccer ball travel?
How high does the soccer ball go?
What is a reasonable domain for the function?
What is a reasonable range for the function?
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Vocabulary: If 5 is a zero of the function what is the value of b?
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4
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-4
Review Lesson 2-7: Without graphing, match each vertex, axis of symmetry, and transformation from the parent function f(x) = |x| in the left column with the appropriate absolute value function in the right column.
vertex: (2, 0)
axis of symmetry: x = -4
translate the parent function 2 units up and 4 units left
axis of symmetry: x = 2
vertex: (-4, 2)
compress the parent function horizontally by a factor of 2 and translate 4 units to the right
Vocabulary Review: Classify each equation based on whether or not it is a function.
Function
NOT a function
Use Your Vocabulary: Match each zero with its graph(s).
-2
-1
1
2
Solve It! What are the coordinates of point C ?
(0, 22)
(25.92, 0)
(20.8, 0)
Problem 1 Got It?
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D
Problem 2 Got It?
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Problem 3 Got It?
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