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The last form of transformation we will discuss in the graphing of trigonometric functions is the phase shift, or horizontal displacement. So far, we have considered the amplitude, period and vertical shift transformations of trigonometric functions.
Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
periodic function repeats itself. • Horizontal translation: a shift to the left or right of the graph of a function. • Key points: points that can be used to plot the graph of a function. • Phase shift: the magnitude and direction of a horizontal shift; determined by the ratio c b. • Vertical asymptote: a vertical line that a function
A phase shift means nothing more than shifting a given trig function to the left or right, so that the cycle starts at a non-regular point; in other words, that the graph has been shifted a bit to one side or the other.
When used in mathematics, a "phase shift" refers to the "horizontal shift" of a trigonometric graph. While mathematics textbooks may use different formulas to represent sinusoidal graphs, "phase shift" will still refer to the horizontal translation of the graph.
23 gru 2020 · In this post, we are going to break down transforming trig functions by identifying their amplitude, frequency, period, horizontal phase shift, and vertical phase shifts. Fear not!
And just like how a vertical shift took your graph and shifted it up or down, a phase shift can take your graph and shift it to the left or right. So without further ado, let's take a look at some situations that you'll see in this course associated with a phase shift.
