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9-12 Algebra 1 Unit 7 Lesson 13

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

•Algebra 1 Geometry Algebra 2 Extra Support Materials for Algebra 1

Unit

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

Modeling Prompts

Lesson

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

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

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

Modeling Prompts

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

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Unit 7, Lesson 13

Graphing the Standard Form (Part 2) (Optional)

Algebra 1

Practice

Problem 1
Student Task Statement
Here are four graphs. Match each graph with the quadratic equation that it represents.

Graph A

A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 2 comma 2, 0 comma 0, and 2 comma 6.

Graph B

A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 3 comma 3, negative 1 comma negative 2, and 0 comma 0.

Graph C

A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 2 comma negative 2, 0 comma 2, and 2 comma negative 2.

Graph D

A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 1 comma 1, 0 comma 0, 2 comma 2.

Graph A
Graph B
Graph C
Graph D

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Problem 2

Student Task Statement

Complete the table without graphing the equations.

equation	-intercepts	-coordinate of the vertex

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Problem 3

Student Task Statement

Here is a graph that represents .

Describe what would happen to the graph if the original equation were changed to . Predict the - and -intercepts of the graph and the quadrant where the vertex is located.

A curve in an x y plane, origin O. Horizontal axis, scale negative 8 to 8, by 2’s. Vertical axis, scale negative 12 to 12, by 2’s. A curve, labeled y equals x squared, passes through the points negative 2 comma 4, 0 comma 0, and 2 comma 4.
Sketch the graph of the equation on the same coordinate plane as .

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Problem 4

Student Task Statement

Select all equations whose graph opens upward.

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Problem 5

Student Task Statement

Technology required. Write an equation for a function that can be represented by each given graph. Then, use graphing technology to check each equation you wrote.

<p>Parabola. Opens up. X intercepts = 0 and -7. </p> — Graph 1

<p>Parabola. Opens up. Vertex = 0 comma -16. X intercepts = -4 and 4. </p> — Graph 2

<p>Parabola. Opens up. X intercepts = -9 and 3. </p> — Graph 3

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Problem 6

ForLesson 8: Equivalent Quadratic Expressions

Student Task Statement

Match each quadratic expression that is written as a product with an equivalent expression that is expanded.

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Problem 7

ForLesson 17: Recalling Percent Change

Student Task Statement

When buying a home, many mortgage companies require a downpayment of 20% of the price of the house. What is the downpayment on a $125,000 home?

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Problem 8

ForLesson 18: Functions Involving Percent Change

Student Task Statement

A bank lends $4,000 to a customer at a annual interest rate.

Write an expression to represent how much the customer will owe, in dollars, after 5 years without payment.

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Lesson 13 Resources

Student Materials