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Graphs of Trigonometric Functions Translations of Sine and Cosine Functions Review • Horizontal and Vertical Transformations of Trigonometric functions • As we learned with other graphs such as the parabola, we can translate a graph vertically and horizontally. We can also expand it or compress it. • A horizontal transformation or shift of a trigonometric function is called a phase shift. • The following video will investigate the properties of a, b, c, d of the general trigonometric function. Our book uses a, k, c, h. It does not matter what letter you choose to represent the general equation. The properties • The standard form of the trigonometric function is y = a sin ( bx +c) +d and y=a cos ( bx +c )+d The a will vertically expand the graph or vertically compress the graph (changing the amplitude and range) The d will move the entire graph up or down (changing the range) The b will horizontally expand or compress the graph (changing the period) The c will move the entire graph to the right or left. HW# 47 • Section 6-5 • Pp. 383-386 • #14-24 all, 27, 29, 30, 49