General Form of the Equation: ______________________ Parent Graph f(x) = x 2 A = 1; B = 0; C = 0 Linear Transformations: Slide “B” to the right. Slide.

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Presentation transcript:

General Form of the Equation: ______________________ Parent Graph f(x) = x 2 A = 1; B = 0; C = 0 Linear Transformations: Slide “B” to the right. Slide “B” to the left. Slide “C” to the right.Slide “C” to the left. How does changing the value of “B” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ How does changing the value of “C” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ Name: _______________________ PART I – LINEAR TRANSFORMATIONS General Form of the Equation: ______________________ Parent Graph f(x) = x 3 A = 1; B = 0; C = 0 Linear Transformations: Slide “B” to the right. Slide “B” to the left. Slide “C” to the right.Slide “C” to the left. How does changing the value of “B” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ How does changing the value of “C” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ (B is a positive value) (B is a negative value) (C is a positive value)(C is a negative value) CUBIC FUNCTION QUADRATIC FUNCTION Complete Practice Problem #1A before moving on to the next Parent Graph. Complete Practice Problem #2A before moving on to the next Parent Graph. (B is a positive value)(B is a negative value) (C is a positive value)(C is a negative value)

Parent Graph A = 1; B = 0; C = 0 PART I – LINEAR TRANSFORMATIONS Parent Graph A = 1; B = 0; C = 0 General Form of the Equation: ______________________ Linear Transformations: Slide “B” to the right. Slide “B” to the left. Slide “C” to the right.Slide “C” to the left. How does changing the value of “B” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ How does changing the value of “C” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ SQUARE ROOT FUNCTION General Form of the Equation: ______________________ Linear Transformations: Slide “B” to the right. Slide “B” to the left. Slide “C” to the right.Slide “C” to the left. How does changing the value of “B” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ How does changing the value of “C” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ B is a negative value CUBE ROOT FUNCTION Complete Practice Problem #3A before moving on to the next Parent Graph. Complete Practice Problem #4A before moving on to the next Parent Graph. (B is a positive value)(B is a negative value) (C is a positive value)(C is a negative value) (B is a positive value) (B is a negative value) (C is a positive value)(C is a negative value)

PART I – LINEAR TRANSFORMATIONS General Form of the Equation: ______________________ Linear Transformations: Slide “B” to the right. Slide “B” to the left. Slide “C” to the right.Slide “C” to the left. How does changing the value of “B” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ How does changing the value of “C” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ ABSOLUTE VALUE FUNCTION General Form of the Equation: ______________________ Linear Transformations: Slide “B” to the right. Slide “B” to the left. Slide “C” to the right.Slide “C” to the left. How does changing the value of “B” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ How does changing the value of “C” affect the graph? ____________ __________________________ __________________________ __________________________ __________________________ RECIPROCAL FUNCTION Parent Graph f(x) = |x| A = 1; B = 0; C = 0 Parent Graph A = 1; B = 0; C = 0 Complete Practice Problem #5A before moving on to the next Parent Graph. Complete Practice Problem #6A before moving on to the next Parent Graph. (B is a positive value)(B is a negative value) (C is a positive value)(C is a negative value) (B is a positive value) (B is a negative value) (C is a positive value)(C is a negative value)

Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right. What happens when “A” is negative? __________________________ __________________________ What happens when “|A|” is between 0 and 1? ________________________ ________________________ ________________________ What happens when “A” is greater than 1? __________________________ __________________________ __________________________ A is a negative value 0 < |A| < 1A > 1 PART II – GEOMETRIC TRANSFORMATIONS QUADRATIC FUNCTION Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right. What happens when “A” is negative? __________________________ __________________________ A is a negative value What happens when “A” is greater than 1? __________________________ __________________________ __________________________ A > 1 What happens when “|A|” is between 0 and 1? ________________________ ________________________ ________________________ 0 < |A| < 1 CUBIC FUNCTION Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right. What happens when “A” is negative? __________________________ __________________________ A is a negative value What happens when “A” is greater than 1? __________________________ __________________________ __________________________ A > 1 What happens when “|A|” is between 0 and 1? ________________________ ________________________ ________________________ 0 < |A| < 1 SQUARE ROOT FUNCTION Complete Practice Problems #1B & #1C before moving on to the next Parent Graph. Complete Practice Problems #2B & #2C before moving on to the next Parent Graph. Complete Practice Problems #3B & #3C before moving on to the next Parent Graph.

Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right. What happens when “A” is negative? __________________________ __________________________ What happens when “|A|” is between 0 and 1? ________________________ ________________________ ________________________ What happens when “A” is greater than 1? __________________________ __________________________ __________________________ A is a negative value 0 < |A| < 1A > 1 PART II – GEOMETRIC TRANSFORMATIONS CUBE ROOT FUNCTION Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right. What happens when “A” is negative? __________________________ __________________________ A is a negative value What happens when “A” is greater than 1? __________________________ __________________________ __________________________ A > 1 What happens when “|A|” is between 0 and 1? ________________________ ________________________ ________________________ 0 < |A| < 1 ABSOLUTE VALUE FUNCTION Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right. What happens when “A” is negative? __________________________ __________________________ A is a negative value What happens when “A” is greater than 1? __________________________ __________________________ __________________________ A > 1 What happens when “|A|” is between 0 and 1? ________________________ ________________________ ________________________ 0 < |A| < 1 RECIPROCAL FUNCTION Complete Practice Problems #4B & #4C before moving on to the next Parent Graph. Complete Practice Problems #5B & #5C before moving on to the next Parent Graph. Complete Practice Problems #6B & #6C before moving on to the next Parent Graph.

f(x) = (x - 2) 3 + 1f(x) = 2x 3 - 3f(x) = -(x + 3) 3 For each example listed, first sketch the parent graph in colored pencil. Next sketch your prediction of the transformed graph on the same set of coordinate axes in regular pencil. Change the sliders in sketchpad to verify your prediction. Change your graph if necessary. f(x) = (x + 3) 2 - 2f(x) = -3x 2 + 1f(x) = ½(x - 2) 2 f(x) = (x - 1) ½ - 1 TRANSFORMATIONS PRACTICE QUADRATIC PRACTICE 1A) B)C) CUBIC PRACTICE 2A) B)C) SQUARE ROOT PRACTICE 3A) B)C)

For each example listed, first sketch the parent graph in colored pencil. Next sketch your prediction of the transformed graph on the same set of coordinate axes in regular pencil. Change the sliders in sketchpad to verify your prediction. Change your graph if necessary. TRANSFORMATIONS PRACTICE CUBE ROOT PRACTICE 4A) B)C) ABSOLUTE VALUE PRACTICE 5A) B)C) RECIPROCAL PRACTICE 6A) B)C)