Using Transformations to Sketch Graphs (VCE SSCE Mathematical Methods): Quizzes

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Using Transformations to Sketch Graphs
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What does a dilation of factor 4 from the x-axis do to point (2,3)(2, 3)?

(2,12)(2, 12)

In transformation (x−7)(x - 7), which direction does the graph shift?

7 units right

For y=5x−3+2y = \frac{5}{x - 3} + 2, where is the vertical asymptote?

x=3x = 3

For y=2x+1−6y = \frac{2}{x + 1} - 6, where is the horizontal asymptote?

y=−6y = -6

What does the negative sign do in y=−x−2y = -\sqrt{x - 2}?

Reflects the graph in the x-axis

What is the base function for y=7(x−1)2+4y = \frac{7}{(x-1)^2} + 4?

y=1x2y = \frac{1}{x^2}

What order are transformations typically applied?

Dilations, horizontal shifts, vertical shifts

If y=1xy = \frac{1}{x} has vertical asymptote x=0x = 0, where is it after translation 5 units left?

x=−5x = -5

What must be tracked through each transformation step?

Key points AND asymptotes

Where does y=−x−4−5y = -\sqrt{x - 4} - 5 start?

(4,−5)(4, -5)

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Translations

Dilations

Reflections

Combinations of Transformations

Determining Transformations

Using Transformations to Sketch Graphs

Transformations of Power Functions With Positive Integer Index

Determining the Rule for a Function From Its Graph

A Notation for Transformations

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A Notation for Transformations

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Translations

Dilations

Reflections

Combinations of Transformations

Determining Transformations

Using Transformations to Sketch Graphs

Transformations of Power Functions With Positive Integer Index

Determining the Rule for a Function From Its Graph

A Notation for Transformations

Show more

A Notation for Transformations

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Translations

Dilations

Reflections

Combinations of Transformations

Determining Transformations

Using Transformations to Sketch Graphs

Transformations of Power Functions With Positive Integer Index

Determining the Rule for a Function From Its Graph

A Notation for Transformations

Show more

A Notation for Transformations

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Translations

Dilations

Reflections

Combinations of Transformations

Determining Transformations

Using Transformations to Sketch Graphs

Transformations of Power Functions With Positive Integer Index

Determining the Rule for a Function From Its Graph

A Notation for Transformations

Show more

A Notation for Transformations

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