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9-12 Integrated Math 2 Unit 4 Lesson 10

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

Modeling Prompts

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 •Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19

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9-12

Integrated Math 1
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Integrated Math 3

Algebra 1
Geometry
Algebra 2
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Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

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Unit 4, Lesson 10

Graphs of Functions in Standard and Factored Forms

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Integrated Math 2

Practice

Problem 1
Student Task Statement
A quadratic function, , is defined by .

Without graphing, identify the -intercepts of the graph of . Explain how you know.

Expand and use the expanded form to identify the -intercept of the graph of .

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Problem 2

Student Task Statement

What are the -intercepts of the graph of the function defined by ?

and

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Problem 3

Student Task Statement

Here is a graph that represents a quadratic function.

Which expression could define this function?

<p>A curve in an x y plane, origin O, with grid.</p>

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Problem 4

Student Task Statement

What is the -intercept of the graph of the equation ?
An equivalent way to write this equation is . What are the -intercepts of this equation’s graph?

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Problem 5

Student Task Statement

Noah said that if we graph , the -intercepts will be at and . Explain how you can determine, without graphing, whether Noah is correct.

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Problem 6

ForLesson 7: Building Quadratic Functions to Describe Situations (Part 3)

Student Task Statement

A company sells a video game. If the price of the game in dollars is , the company estimates that it will sell games.

Which expression represents the revenue in dollars from selling games if the game is priced at dollars?

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Problem 7

ForLesson 9: Standard Form and Factored Form

Student Task Statement

Write each quadratic expression in standard form. Draw a diagram if needed.

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Problem 8

ForLesson 9: Standard Form and Factored Form

Student Task Statement

Consider the expression .

Is the expression equivalent to ? Explain how you know.
Is the expression in standard form? Explain how you know.

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Lesson 10 Resources

Student Materials

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