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EXAMPLE 2 Horizontal Stretch or Shrink and Period Find the period of each function and use the language of transformations to describe how the graphs are related. (a) (b) (c) SOLUTION Solve Algebraically The periods are (a) , (b) , and (c). The graph of is a horizontal stretch of the graph of by a factor of 3, a vertical Aug 05, 2018 · When x is replaced with a x the graph of y = f (x) is stretched or compressed horizontally by a factor of a.   If a > 1 the graph is compressed.   If 0 < a < 1 the graph is stretched. To horizontally center a block element (like <div>), use margin: auto; Setting the width of the element will prevent it from stretching out to the edges of its container. The element will then take up the specified width, and the remaining space will be split equally between the two marginsThe concept of vertical and horizontal stretching and compressing was brought up in the last exploration question and will be discussed in a classroom setting. The topic of transformational graphing will continue in subsequent days’ lessons. Strategies for Differentiation Horizontal Stretch/Shrink. Log InorSign Up. New Blank Graph. Examples. Lines: Slope Intercept Form.

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# How to graph a horizontal stretch

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k corresponds to a horizontal stretch or compression and, if k 0, a reflection in the y-axis. d corresponds to a horizontal translation to the right or left. c corresponds to a vertical translation up or down. Communicate Your Understanding C1 Stretches, compressions, and reflections can be performed in any order. Explain why. The graph will exhibit the same, horizontal, compression. A plot-less way of thinking about this, ... The analogy also works for horizontal stretches/shrinks. Horizontal Stretch -Properties, Graph, & Examples. You may already have encountered graphs that look alike but share different widths. About "Stretch a Graph Vertical or Horizontal Examples" Stretch a Graph Vertical or Horizontal Examples : Here we are going to learn how to stretch a...

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Stretching a graph involves introducing a coefficient into the function, whether that coefficient fronts the equation as in y = 3 sin(x) or is acted upon by the trigonometric function, as in y = sin(3x). The first example creates a vertical stretch, the second a horizontal stretch.

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I then checked my textbook and the definition for stretch and compression are the same but it added on that a horizontal stretch is the distance from the y-axis of every point growing by a scale factor greater than 1, while a horizontal compression is the distance from the y-axis of every point shrinking by a scale factor between 0 and 1. Jan 24, 2017 · If there is a whole number coefficient inside parentheses, then multiply the x-values of all points by the inverse of (!) that coefficient and see the graph stretch horizontally (opposite of what... complete graph, and a best fit line can be drawn by connecting the points. The figure on the next page is the completed graph showing one and a half periods of the sine function. The graph of the cosine function is drawn in a similar manner as the sine function. Using a table of values: 0π π 2 -1 π 3π 2π 2 1 0π π 2 -1 π 3π 2π 2