Moving trig functions upward or downward with vertical translations
What to Watch Out For
When graphing trigonometric functions, some challenges will include
Not misreading the period of the trig function when a transformation involves a fraction
Drawing enough full cycles of the curve to show its characteristics properly
Marking the axes appropriately for the situation
Making use of intercepts when they’re helpful in a graph
Recognizing Basic Trig Graphs
461–465 Determine which trig function equation matches the graph.
461.
Illustration by Thomson Digital
(A)
(B)
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(D)
(E)
462.
Illustration by Thomson Digital
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(B)
(C)
(D)
(E)
463.
Illustration by Thomson Digital
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(B)
(C)
(D)
(E)
464.
Illustration by Thomson Digital
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(C)
(D)
(E)
465.
Illustration by Thomson Digital
(A)
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(D)
(E)
Graphing Sine and Cosine
466–470 Sketch the graph of the function.
466.
467.
468.
469.
470.
Applying Function Transformations to Graphs of Trig Functions
471–475 Describe the transformation from function f to function g.
471.
472.
473.
474.
475.