Combinations of Transformations (Edexcel A-Level Mathematics): Quizzes

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Combinations of Transformations
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What does an 'inside' transformation do to xx-values?

Does the opposite

The transformation f(x)⟼f(x+5)f(x) \longmapsto f(x + 5) translates the graph in which direction?

5 units left

The transformation f(x)⟼f(x)−7f(x) \longmapsto f(x) - 7 translates the graph in which direction?

7 units down

The transformation f(x)⟼f(−x)f(x) \longmapsto f(-x) reflects the graph in which axis?

yy-axis

The transformation f(x)⟼4f(x)f(x) \longmapsto 4f(x) stretches the graph by what scale factor?

SF 4 parallel to yy-axis

The transformation f(x)⟼f(5x)f(x) \longmapsto f(5x) stretches by what scale factor?

SF 15\frac{1}{5} parallel to xx-axis

Translating y=x2y = x^2 by (0,3)(0, 3) gives which equation?

y=x2+3y = x^2 + 3

Reflecting y=x3y = x^3 in the xx-axis gives which equation?

y=−x3y = -x^3

For f(x)⟼2f(x)+5f(x) \longmapsto 2f(x) + 5, does the order of transformations matter?

Yes, both affect yy

To map y=xy = \sqrt{x} to y=3x+6−2y = \sqrt{3x + 6} - 2, which transformation comes first?

Translate by (−6,0)(-6, 0)

Explore Edexcel A-Level Mathematics Revision Notes by Topics

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Explore Edexcel A-Level Mathematics Model Answers by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore Edexcel A-Level Mathematics Flashcards by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore Edexcel A-Level Mathematics Exam Questions by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

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