Trigonometric Functions (Edexcel A-Level Mathematics): Flashcards

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Transformations of Trigonometric Functions
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What changes the amplitude of trigonometric functions?

Vertical Stretching/Compressing alters amplitude.

When is the graph vertically stretched?

A>1|A| > 1 causes vertical stretching in the graph.

What happens if A|A| is between 0 and 1?

The graph is compressed vertically.

How does A<0A < 0 affect the graph?

It reflects the graph across the xx-axis.

What changes the period of trigonometric functions?

Horizontal Stretching/Compressing alters the period.

What is the period for y=sin(Bx)y = \sin(Bx)?

Period is 360°/B360°/|B| or 2π/B2\pi/|B|.

How to shift a graph vertically?

Add CC to the function: y=sin(x)+Cy = \sin(x) + C.

What indicates a vertical shift up?

C>0C > 0 shifts the graph up.

What indicates a horizontal shift right?

D>0D > 0 shifts the graph to the right.

What occurs with negative BB in y=sin(Bx)y = \sin(Bx)?

The graph reflects across the yy-axis.

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