Exercises for Question Type 4: Creating a description explaining function transformations

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Exercises for Question Type 4: Creating a description explaining function transformations - IB

Question 1

Describe the sequence of transformations applied to the graph of y = x^{3} to obtain the graph of y = - 2 (x - 1)^{3} + 4 .

[4]

Question 2

Describe the sequence of transformations applied to the graph of y = x to obtain the graph of y = 2 - x + 3 - 1 .

[4]

Question 3

Describe the sequence of transformations applied to the graph of y = e^{x} to obtain the graph of y = 4 e^{x - 2} - 1 .

[3]

Question 4

Describe the sequence of transformations applied to the graph of y = sin x to obtain the graph of y = 5 sin (2 x - 6) .

[3]

Question 5

Describe the sequence of transformations applied to the graph of y = x^{2} to obtain the graph of y = (x - 3)^{2} + 4 .

[2]

Question 6

Describe the sequence of transformations applied to the graph of y = ∣ x ∣ to obtain the graph of y = - ∣ x + 2∣ + 1 .

[3]

Question 7

Describe the sequence of transformations applied to the graph of y = \frac{1}{x} to obtain the graph of y = \frac{3}{x + 2} - 5 .

[3]

Question 8

Describe the sequence of transformations applied to the graph of y = ln x to obtain the graph of y = ln (2 x + 4) + 5 .

[3]

Question 9

Describe the sequence of transformations applied to the graph of y = cos x to obtain the graph of y = - 3 cos (2 x) + 5 .

[4]

Question 10

Given a function y = f (x), describe the transformations applied to obtain y = f (- x) + 3 .

[2]

Question 11

Describe the sequence of transformations applied to the graph of y = tan x to obtain the graph of y = \frac{1}{2} tan (3 (x + 1)) - 2 .

[4]

Question 12

Describe the sequence of transformations applied to the graph of y = sin x to obtain the graph of y = 2 sin (x - \frac{π}{4}) .

[2]

IB Mathematics Analysis and Approaches Question Type 4: Creating a Description Explaining Function Transformations Exercises