unit 3 parent functions and transformations homework 1 answer key

Parent Functions and Transformations (Algebra 2 - Unit 3) | All Things Algebra®

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The purpose of this unit is to provide the foundation for the parent functions, with a particular focus on the linear, absolute value, and quadratic function families. A chart is provided with all the parent functions that can be used throughout future units. This Parent Functions and Transformations Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics:

• Piecewise Functions

• Graphing Absolute Value Functions and Inequalities by Table

• Parent Functions

• Transformations

• Vertex Form of an Absolute Value Equation; Graphing using Transformations

• Quadratic Functions Review: Parts of the Parabola, Axis of Symmetry, Vertex, Minimum, Maximum

• Graphing Quadratic Equations and Inequalities written in Standard Form

• Graphing Quadratic Equations and Inequalities written in Vertex Form

• Converting Quadratic Equations written in Standard Form to Vertex Form (Completing the Square) • Increasing and Decreasing Intervals

• End Behavior

• Parent Functions Review - Linear, Absolute Value, and Quadratic. Identifying special characteristics including domain, range, number of zeros, end behavior, increasing/decreasing intervals • Greatest Integer Function (Bonus Topic)

ADDITIONAL COMPONENTS INCLUDED:

(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

Please download the preview to see a sample outline along with a collage of some of the pages.

This resource is included in the following bundle(s):

Algebra 2 Curriculum

More Algebra 2 Units:

Unit 1 – Equations and Inequalities

Unit 2 – Linear Functions and Systems

Unit 4 – Quadratic Equations and Complex Numbers

Unit 5 – Polynomial Functions

Unit 6 – Radical Functions

Unit 7 – Exponential and Logarithmic Functions

Unit 8 – Rational Functions

Unit 9 – Conic Sections

Unit 10 – Sequences and Series

Unit 11 – Probability and Statistics

Unit 12 – Trigonometry

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

© All Things Algebra (Gina Wilson), 2012-present

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• Unit 1: Alg & Pre-Calc Review
• Unit 2: Limits & Continuity
• Unit 3: Derivatives
• Unit 4: Trig Derivatives
• Unit 5: Derivative Tests
• Unit 6: Optimization
• Unit 7: Related Rates
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• Unit 9: Area & Volume
• Unit 1: Algebra 1 Review
• Unit 2: Powers & Radicals
• Unit 3: Parent Functions
• Unit 4: Polynomial Functions
• Unit 5: Rational Functions
• Unit 6: Logarithms
• Unit 7: Trigonometry
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• Final Exam Review
• Unit 1: Pre-Algebra Review
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• Unit 7: Rational Expressions
• Unit 8: Radicals
• Unit 9: Statistics
• Unit 10: Quadratics
• Algebra 2 Trig Unit 3: Parent Functions     3.1 Completing the Square In-Class Notes           Notes Video           Worksheet           Worksheet Solutions            Homework            HW Solutions Textbook HW Pg. 287 #73-75, 79-81   3.2 Graphing Quadratic Functions In-Class Notes           Notes Video           Worksheet           Worksheet Solutions            Homework           HW Solutions Textbook HW: Pg. 253 #20-22, 26-28   3.3 Domain and Range In-Class Notes            Notes Video            Worksheet            Worksheet Solutions   3.4 Transformations of Functions I In-Class Notes            Notes Video            Worksheet            Worksheet Solutions   3.5 Transformations of Functions II In-Class Notes            Notes Video            Worksheet            Worksheet Solutions   3.6 Piecewise Function Graphs In-Class Notes            Notes Video            Worksheet            Worksheet Solutions   3.7 Piecewise Function Equations In-Class Notes            Notes Video            Worksheet            Worksheet Solutions   3.8 Unit 3 Pretest & Study Test Unit 3 Pretest       Unit 3 PT Solutions       Unit 3 Study Test       Unit 3 ST Solutions       Application Problem       AP Solutions  
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Unit 3: Parent Functions and Transformat...

9th - 11th grade, mathematics.

Unit 3: Parent Functions and Transformations

44 questions

Introducing new   Paper mode

No student devices needed.   Know more

What is the RANGE of the function?

All real numbers

Match the graph with the correct equation.

Describe the transformation that occurred

m(x) = f(x + 1)

Left 1 Unit

Right 1 unit

vertical stretch

h(x) = 1/5f(x)

vertical compression

Down 5 Units

• 14. Multiple Choice Edit 3 minutes 1 pt Find the vertex of  f(x) = -x 2  - 4x + 12. (-2, 16) (2, 0) (2, 4) (-2, 4)

Find the y-intercept y = x 2 - 6x + 5

What is the function that matches the graph?

f ( x ) = x 2 − 2 x + 5 f\left(x\right)=x^2-2x+5 f ( x ) = x 2 − 2 x + 5

f ( x ) = − 2 x 2 + 2 x − 5 f\left(x\right)=-2x^2+2x-5 f ( x ) = − 2 x 2 + 2 x − 5

f ( x ) = − 2 x 2 − 2 x + 5 f\left(x\right)=-2x^2-2x+5 f ( x ) = − 2 x 2 − 2 x + 5

Convert to vertex form.

y = − ( x − 5 ) 2 + 21 y=-\left(x-5\right)^2+21 y = − ( x − 5 ) 2 + 2 1

y = − ( x + 5 ) 2 + 21 y=-(x+5)^2+21 y = − ( x + 5 ) 2 + 2 1

y = − ( x + 10 ) 2 + 21 y=-(x+10)^2+21 y = − ( x + 1 0 ) 2 + 2 1

y = − ( x − 10 ) 2 + 21 y=-(x-10)^2+21 y = − ( x − 1 0 ) 2 + 2 1

  y = 4 ( x + 2 ) 2 − 8 y=4(x+2)^2-8 y = 4 ( x + 2 ) 2 − 8   Convert the equation from vertex form to standard form. 

  y = 4 x 2 + 16 x + 8 y=4x^2+16x+8 y = 4 x 2 + 1 6 x + 8    

  y = 4 x 2 + 16 x + 16 y=4x^2+16x+16 y = 4 x 2 + 1 6 x + 1 6    

  y = 16 x 2 + 64 x − 8 y=16x^2+64x-8 y = 1 6 x 2 + 6 4 x − 8    

  y = 16 x 2 + 256 x + 8 y=16x^2+256x+8 y = 1 6 x 2 + 2 5 6 x + 8    

• 22. Multiple Choice Edit 1 minute 1 pt Which answer choice describes  y = -3x 2 +7x - 2 accurately? opens up with a maximum opens up with a minimum opens down with a maximum opens down with a minimum 
• 23. Multiple Choice Edit 45 seconds 1 pt Does the equation open up or down?  Y = -3x 2 +7x - 2 up down Neither; it opens to the right. Neither; it opens to the left.

  y = − 2 3 ( x − 9 ) 2 − 2 y=-\frac{2}{3}(x-9)^2-2 y = − 3 2 ​ ( x − 9 ) 2 − 2     Convert the equation from vertex form to standard form

  y = − 2 3 x 2 − 12 x − 52 y=-\frac{2}{3}x^2-12x-52 y = − 3 2 ​ x 2 − 1 2 x − 5 2    

  y = − 2 3 x 2 + 12 x − 56 y=-\frac{2}{3}x^2+12x-56 y = − 3 2 ​ x 2 + 1 2 x − 5 6    

  y = − 2 3 x 2 + 18 x − 56 y=-\frac{2}{3}x^2+18x-56 y = − 3 2 ​ x 2 + 1 8 x − 5 6    

  y = − 2 3 x 2 − 18 x + 52 y=-\frac{2}{3}x^2-18x+52 y = − 3 2 ​ x 2 − 1 8 x + 5 2    

• 26. Multiple Choice Edit 2 minutes 1 pt Determine the vertex of the parabola: y = 5x 2  - 20x + 13 (5, -7) (-2, -7) (2, -7) (-7, -2)
• 28. Multiple Choice Edit 30 seconds 1 pt Given: y = 2(x - 5) + 6, the vertex is (2, -5) (-5, 6) (2, 6) (5, 6)

Find the y-intercept of the function

y = -3(x + 2) 2 - 5

• 31. Multiple Choice Edit 3 minutes 1 pt Convert the equation y= x 2 +4x into vertex form.  y= (x+4) 2 -4 y= (x-2) 2 +4 y= (x+2) 2 -4 y= (x+2) 2
• 32. Multiple Choice Edit 15 minutes 1 pt Does the graph of -2(x + 5) + 2 have a minimum or a maximum? Minimum Maximum It has neither. It has both.

Which quadratic function is represented by the graph?

y = (x - 2) 2 + 2

y = (x + 2) 2 + 2

y = (x - 2) 2 - 2

y = -(x - 2) 2 + 2

What piece of information does c identify in the following equation?

y = ax 2 + bx + c

Axis of Symmetry

y-intercept

Using the pictured graph, what is f(2)?

• 39. Multiple Choice Edit 5 minutes 1 pt Is (2, 3) part of the solution set?  y < 2x 2  -3x+1 Yes No

Which inequality is represented by the graph?

y ≥ -(x + 4)² + 1

y < -(x - 4)² + 1

y ≤ (x - 4)² + 1

y ≤ -(x - 4)² + 1

What is the correct equation for this graph?

y ≤ 2|x-1| - 1

y ≤ 1/2|x-1| + 4

y ≥ -2|x+1| - 2

y ≥ -2|x-1| + 1

Which of the following equations is NOT a quadratic function?

What are the x-intercepts of this function?

(1,0) and (5, 0)

(0, 3) and (0, -5)

(1, 5) and (5, 1)

(0, 1) and (0, 5)

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Unit 3 Parent Functions And Transformations Homework 1 Piece

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Algebra 1, Chapter 3, Lesson 5- Transformations of Linear Functions Pt.1

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