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Graphing Functions using Transformations

Graphing Functions using Transformations Tutoring and Learning Centre, George Brown College 2014 The most common parent Functions include: - Linear function f(x) = x - Quadratic function f(x) = x2 - Cubic function f(x) = x3 - Reciprocal function f(x) = - Root function f(x) = - Sine function f(x) = sin(x) - Cosine function f(x) = cos(x) - Tangent function f(x) = tan(x) using Transformations , many other Functions can be obtained from these parents Functions .

a = −3, Indicates a vertical stretch by a factor of 3 and a reflection in the x-axis. b = 2, Indicates a horizontal compression by a factor of . h = −8, Indicates a translation 8 units to the left. k = −19, Indicates a translation 19 units down. Example 2: Write an equation for f(x) = after the following transformations are applied: vertical

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