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

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Using Transformations to Sketch Graphs
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Method for sketching complicated functions

Transform from simpler base function step by step

Effect of dilation factor k from x-axis on y-coords

Multiplies all y-coordinates by k

Direction graph shifts for (x−h)(x - h) inside function

h units to the RIGHT

Vertical asymptote for y = rac{a}{x - h} + k

x=hx = h

Horizontal asymptote for y = rac{a}{x - h} + k

y=ky = k

How to find y-intercept of a function

Substitute x=0x = 0

How to find x-intercept of a function

Substitute y=0y = 0

Effect of negative sign before square root on graph

Reflection in the x-axis

Order to apply transformations

Dilations, horizontal translations, then vertical translations

What moves during horizontal translation

Vertical asymptote

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 Quizzes 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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