TRANSFORMATIONS & FUNCTIONS
Chapter 1 - Function Transformations
Chapter 2 - Radical Functions
Chapter 3 - Polynomial Functions
• UNIT 1 NOTES PACKAGE •
1.1 - HORIZONTAL & VERTICAL TRANSLATIONS
PG 12 #1-12
1.2 - REFLECTIONS & STRETCHES
PG 28 #1-4, 6, 7, 9, 14
1.3 - COMBINING TRANSFORMATIONS
TRANSFORMATIONS (handout)
PG 38 #1-11, 15
TRANSFORMATIONS CONT...
ANSWER KEY
1.4 - INVERSE OF A RELATION
PG 51 #1-10, 12, 15, 20
2.1 - RADICAL FUNCTIONS & TRANSFORMATIONS
PG 72 #1-7, 10, 11
2.2 - SQUARE ROOT OF A FUNCTION
PG 86 #3-11
2.3 - SOLVING RADICAL EQUATIONS GRAPHICALLY
PG 96 #3-9, 14, 16
3.1 - CHARACTERISTICS OF POLYNOMIAL FUNCTIONS
PG 114 #1-4, 6, 9, 11
3.2 (1) - THE REMAINDER THEOREM
PG 124 #1-5
3.2 (2) - THE REMAINDER THEOREM
PG 124 #6-10, 14, 15
3.3 - THE FACTOR THEOREM
PG 133 #3-7
3.3 - CONT...
3.4 (1) - solving polynomial equations, 3.4 ( 2 ) - zero of multiplicity.
PG 147 #1-7, 9, 10
unit 1 test cycle
REVIEW PAGES:
CH 1 - PG 56
CH 2 - PG 99
CH 3 - PG 153
UNIT 1 - PG 158
PRE-TEST -
CORRECTIONS -
UNIT TEST -
- $ 0.00 0 items
Unit 7 – Transformations of Functions
Shifting Functions
LESSON/HOMEWORK
LESSON VIDEO
EDITABLE LESSON
EDITABLE KEY
Reflecting Parabolas
Vertically Stretching Functions
Horizontal Stretching Functions
Even and Odd Functions
Unit Review
Unit 7 Review – Transformations of Functions
UNIT REVIEW
EDITABLE REVIEW
Unit 7 Assessment Form A
EDITABLE ASSESSMENT
Unit 7 Assessment Form B
Unit 7 Assessment Form C
Unit 7 Assessment Form D
Unit 7 Exit Tickets
Unit 7 – Mid-Unit Quiz (Through Lesson #3) – Form A
Unit 7 – Mid-Unit Quiz (Through Lesson #3) – Form B
Unit 7 – Mid-Unit Quiz (Through Lesson #3) – Form C
Unit 7 – Mid-Unit Quiz (Through Lesson #3) – Form D
U07.AO.01 – Transformation Graphing Activity (Desmos)
EDITABLE RESOURCE
U07.AO.02 – Transformation Graphing Activity – Teacher Directions
U07.AO.03 – Function Transformation Practice
U07.AO.04 – Even and Odd Function Practice
U07.AO.05 – Practice with Finding Formulas for Transformed Functions
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Review of Transformations
Related Topics: More Lessons for High School Regents Exam Math Worksheets
High School Math based on the topics required for the Regents Exam conducted by NYSED.
A reflection is a flip. It is an opposite isometry. This means that the image does not change size but the lettering is reversed. Reflection in the x-axis: R x-axis (x, y) = (x, -y) Reflection in the y-axis: R y-axis( x, y) = (-x, y) Reflection in the line y = x: R y = x( x, y) = (y, x) Reflection in the line y = -x, R y = -x (x, y) = (-y, -x)
A rotation turns a figure through an angle about a fixed point called the center. A positive angle of rotation turns the figure counterclockwise, and a negative angle of rotation turns the figure in a clockwise direction. It is a direct isometry - the order of the lettering in the figure and the image are the same. Rotation of 90° about the origin: R 90° (x, y) = (-y, x) Rotation of 180° (or point rotation about the origin) : R 180° (x, y) = (-x, -y) Rotation of 270° about the origin : R 270° (x, y) = (y, -x)
A translation “slides” an object a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction. It is a direct isometry - the order of the lettering in the figure and the image are the same. Translation of h, k : T h,k (x, y) = (x+h, y+k)
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is not an isometry and it forms similar figures.
Dilation of scale factor k with the center at the origin: D k (x, y) = (kx, ky)
Transformations - Reflection Review the rules for performing a reflection across the x-axis. When reflecting an object over the x-axis, keep all x-values and change the y-value. This tutorial reviews how to perform a reflection over the x-axis on the coordinate plane.
Transformations - Rotate 90 degrees This video reviews how to perform 90 degree rotations (clockwise and counterclockwise) around the origin.
Rotate 180 Degrees Around The Origin This tutorial shows why all signs of an ordered pair of an object become opposite when rotating that object 180 degrees around the origin.
Transformations - Translating a Polygon On The Coordinate Plane This tutorial reviews how to translate a given polygon on the coordinate plane.
Dilation Of Objects On The Coordinate Plane This tutorial reviews how to dilate an object on the coordinate plane when the center of dilation is the origin and also when the center of dilation is not the origin.
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IMAGES
VIDEO
COMMENTS
Unit One Notes and Assignments. Transformation Vocabulary NOTES and ASSIGNMENT and KEY. Translation NOTES and ASSIGNMENT and KEY. Reflection NOTES and ASSIGNMENT and KEY. . Rotation NOTES and ASSIGNMENT and KEY. Transformation Review worksheets. . All.
Study with Quizlet and memorize flashcards containing terms like Determine the parent function., Identify the equation of the function., How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph. y = (x - 4)³ - 2y = (x + 4)³ - 2y = (x + 2)³ - 4y = (x - 2)³ - 4 and more.
Chapter 1 - Function Transformations. Chapter 2 - Radical Functions. Chapter 3 - Polynomial Functions. • UNIT 1 NOTES PACKAGE •.
Math 30-1: Chapter 1 Review Assignment. Function Transformations. Answer the following questions. Remember to show all your work. Given the graph of below, sketch the graph of . (RF2) Given , , , and , in which quadrant is the vertex? (RF2) Given the functions and , describe the transformations the will transform to become . (RF2)
Unit 7 Review - Transformations of Functions UNIT REVIEW. ANSWER KEY. EDITABLE REVIEW. EDITABLE KEY. ... Transformation Graphing Activity - Teacher Directions RESOURCE. EDITABLE RESOURCE. ... If you create a modified assignment using a purchased editable file, please credit us as follows on all assignment and answer key pages: ...
A. right, 8. B. down, 6. A ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s. Its height above the ground after x seconds is given by the quadratic function y = -16x2 + 32x + 3. Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2.
Translations review (Opens a modal) Practice. Translate points Get 3 of 4 questions to level up! ... Rigid transformations: preserved properties Get 3 of 4 questions to level up! Mapping shapes Get 3 of 4 questions to level up! Quiz 4. Level up on the above skills and collect up to 240 Mastery points Start quiz.
Which describes the transformations of y = f (x) that would result in the graph of y = f (-x) - 7. Study with Quizlet and memorize flashcards containing terms like Which is the graph of y=2/x+2 ?, Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function l (x)=10/x.
Transformations - Reflection. Review the rules for performing a reflection across the x-axis. When reflecting an object over the x-axis, keep all x-values and change the y-value. This tutorial reviews how to perform a reflection over the x-axis on the coordinate plane. Show Step-by-step Solutions. Transformations - Rotate 90 degrees.
Review assignment - transformations. Subject. Pre-Calculus. 91 Documents. Students shared 91 documents in this course. Degree • Grade High School - Canada • 12. School Delta Secondary - Delta-BC. Academic year: 2024/2025. Uploaded by: JG. Jake Gudelj. Delta Secondary. 0 followers. 1 Uploads. 0 upvotes. Follow. Recommended for you. 2. Sect6 ...
Math 30-1: Chapter 1 Review Assignment Function Transformations Answer the following questions. Remember to show all your work. 1. Given the graph of y f x below, sketch the graph of y 2 f x 3 . y f x y 2 f x 3 2. Given 2 y k a x h
1st Day Info Parent Letter Syllabus Solving Equations Notes Assignment Assignment-Key 1.6-Modeling Linear Equations Notes Assignment Integrated Review Assignment-Key 1.1-Interval Notation Notes...
Its height above the ground after x seconds is given by the quadratic function y = -16x2 + 32x + 3. Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2. Complete the square to get the equation in vertex form witha = -16, h = 1, and k = 19.
WORK SAMPLE ASSIGNMENT CHAPTER 7Section 7.1: Scale Diagrams and EnlargementsSection 7.2: Scale Diagrams and ReductionsSection 7.3: Similar PolygonsSection 7.4: Similar TrianglesSection 7.5: Reflections and Line SymmetrySection 7.6: Rotations and Rotational SymmetrySection 7.7 : Identifying Types of Symmetry on the Cartesian PlaneUnit 7 Outcomes.
1. both pairs of opposite sides are congruent and parallel. 2. the diagonals bisect each other. 3. both pairs of opposite angles are congruent. 4. consecutive angles are supplementary. Rectangle rules. 1-4. same as parallelogram. 5. contains 4 right (90°) angles. 6. the diagonals are congruent. rhombus rules.
They are congruent. A transformation that changes the size of an object, but not the shape. Two adjacent angles that form a straight line. A transformation that "flips" a figure over a mirror or reflection line. A line that acts as a mirror so that corresponding points are the same distance from the mirror.