Exercises for Question Type 1: Drawing the effect of single transformations on a graph

Question 1

Skill question

Sketch $y = (\frac{x}{3})^{2} - 2$ using $y = x^{2} - 2$ .

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Question 2

Skill question

On the same axes as $y = x^{2} - 2$ , sketch $y = \frac{1}{2} (x^{2} - 2)$ . Mark the images of $(2, 2)$ and $(- 2, 2)$ .

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Question 3

Skill question

Draw the graph of $y = (x + 2)^{2} - 2$ from $y = x^{2} - 2$ .

[3]

Question 4

Skill question

Sketch the graph of $y = (x - 3)^{2} - 2$ by transforming the graph of $y = x^{2} - 2$ .

[4]

Question 5

Skill question

Sketch the graph of $y = (2 x)^{2} - 2$ from $y = x^{2} - 2$ .

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Question 6

Skill question

Sketch the graph of $y = 4 (x^{2} - 2)$ given the graph of $y = x^{2} - 2$ . Label the images of the points $(0, - 2)$ , $(1, - 1)$ , and $(- 1, - 1)$ .

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Question 7

Skill question

Sketch $y = x^{2} + 3$ given $y = x^{2} - 2$ .

[3]

Question 8

Skill question

On a coordinate grid, sketch $y = x^{2} - 5$ from $y = x^{2} - 2$ .

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Question 9

Skill question

Math

Sketch $y = 4 x^{2} - 2$ and identify the transformation from $y = x^{2} - 2$ .

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Question 10

Skill question

Sketch the graph of $y = ∣ x^{2} - 2∣$ .

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IB Mathematics Analysis and Approaches Question Type 1: Drawing the Effect of Single Transformations on a Graph Exercises