Transformations of functions worksheet pdf

# Transformations of functions worksheet pdf
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—Then evaluate f. When a linear function f (x) is multiplied by a positive constant a, the result a∙f (x) is a vertical dilation. The graph of g consists of the points (1 x, f (x — 3)). UnitLessonTransformations of Graphs Hour_____ Graph the following functions without using technology. The graph of g is a horizontal stretch Transformations: Shifts, Reflections, and Stretches Warm upFill in the table below and plot the points to graph the function. Feel free to use a graphing calculator to check your answer, A dilationstretches or compresses the graph of a function. To fi nd the outputs of g, multiply the inputs by. When a linear function f (x) is multiplied by a positive constant a, the result a∙f (x) is a vertical dilation. Key Concept SOLUTIONa. Key Concept Vertical Dilations of Linear Functions The graph of g(x) =axis the graph of f (x) =xstretched or compressed vertically All Transformations Date_____ Period____ Graph the image of the figure using the transformation given) rotation° counterclockwise about the origin x y J Z L J' Z' L' 2) translationunits right andunit down x y Y F G Y' F' G' 3) translationunit right andunit up x y E J T M E' J' T' M' 4) reflection across the x-axis x y M C J € y=x x ‐2 ‐yFill in the table below and Practice Transformations of Linear FunctionsWriting Identify the three types of transformationsWhat is the difference between a slope change and a translation? Feel free to use a graphing calculator to check your answer, but you should be able to look at the function and apply what you learned in the lesson to move its parent function. Describe the transformations necessary to transform the graph of f(x) into that of g(x)) f (x) x g(x) x 4) f(x) x g(x) (x) Transform the given function f(x) as described and write the resulting function as an equation) f (x) x expand vertically by a factor of Graph the following functions without using technology. Also, state the domain and range for each functionfx x() (2) 4=−2 +fx x() (3) 1=− − − Worksheet by Kuta Software LLC AlgebraHW Function Transformations Name_____ Date_____ Period____ ©v R2E0E1o8r JKGuQtha^ MSwoXfptdw[ahrteH WLJLuCe.w F PAalflk A dilationstretches or compresses the graph of a function.