Determining the Rule for a Function From Its Graph (VCE SSCE Mathematical Methods): Quizzes

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Determining the Rule for a Function From Its Graph
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What does determining the rule of a function mean?

Finding equation from visual graph

How many equations do you need to find 3 unknown parameters?

3 equations

In y=ax+by = \frac{a}{x} + b, the horizontal asymptote is at y=y = ?

bb

In y=ax−h+by = a\sqrt{x - h} + b, what does parameter aa affect?

Vertical stretch or compression

In y=ax−h+by = a\sqrt{x - h} + b, what does parameter hh represent?

Horizontal shift

In y=ax−h+by = a\sqrt{x - h} + b, what does parameter bb represent?

Vertical shift

What is the first step in determining a function's rule?

Identify general form based on curve type

Points (1,5)(1, 5) and (4,2)(4, 2) on y=ax+by = \frac{a}{x} + b give a=a = ?

44

Points (2,1)(2, 1), (10,6)(10, 6) on y=ax−1+by = a\sqrt{x - 1} + b give b=b = ?

−32-\frac{3}{2}

For y=axy = a\sqrt{x}, how many points (other than origin) find aa?

1 point

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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