Graph Transformations (Leaving Cert Mathematics): Quizzes

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Graph Transformations
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What direction does f(x−3)f(x-3) shift the graph of f(x)f(x)?

Right by 3 units

What direction does f(x+2)f(x+2) shift the graph of f(x)f(x)?

Left by 2 units

What does f(x)+5f(x)+5 do to the graph of f(x)f(x)?

Shifts upwards by 5 units

How does f(x)−4f(x)-4 transform the graph of f(x)f(x)?

Shifts downwards by 4 units

In y=5x+7y=5x+7, what does the 7 represent?

Vertical translation by 7

What effect does 3f(x)3f(x) have on the graph of f(x)f(x)?

Stretched vertically

How does 0.5f(x)0.5f(x) transform the graph of f(x)f(x)?

Compresses vertically

What does f(2x)f(2x) do to the graph of f(x)f(x)?

Compressed horizontally

How does f(0.5x)f(0.5x) affect the graph of f(x)f(x)?

Stretches horizontally

What does y=−f(x)y=-f(x) do to the graph?

Flips graph upside down

What does y=f(−x)y=f(-x) do to the graph?

Inverts all xx values

Which is NOT a category of graph transformation?

Rotation

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

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Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

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