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Published byBrendan Sparks Modified over 9 years ago
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Reflections in the coordinate axes of the graph of y = f(x) are represented by: 1. Reflection in the x-axis: h(x) = -f(x) 2. Reflection in the y-axis: h(x) = f(-x)
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Horizontal, vertical, and reflection shifts are all call rigid transformations. These transformations only change the position of the graph in the coordinate plane Non-rigid transformations are those that cause distortion of the graph.
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A non-rigid transformation of the graph y= f(x) is represented by y = cf(x), where the transformation is a vertical stretch if c > 1 and a vertical shrink if 0 < c< 1.
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Another non-rigid transformation of the graph y = f(x) is represented by h(x) = f(cx), where the transformation is a horizontal shrink if c > 1 and a horizontal stretch if 0<c<1
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You may form into groups of 2-3 to complete the following quiz. Each member of your group must show all work in order to receive credit. After you have finished quiz, please be sure to answer the short answer question(on your own paper)
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Just as real numbers can be combined by the operations of addition, subtraction, multiplication, and division to form other real numbers, two functions can be combined to create a new function. This is known as an arithmetic combination of functions.
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The domain of an arithmetic combination of functions f and g consists of all real numbers that are common to the domains of f and g.
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Pg. 58 # 5 – 26
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