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Please I need some assistance with these transformation questions please write the work on paper. Thanks so much! Transform the given function f(x) as described

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Please I need some assistance with these transformation questions please write the work on paper. Thanks so much!

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Transform the given function f(x) as described and write the resulting function as an equation. 1) (x) = x stretch horizontally by a factor of 3 reflect across the x-axis 12 translate right 1 unit translate up 3 units Describe the transformations necessary to transform the graph of f(x) (solid line) into that of g(x) (dashed line). 2) /2 Describe the transformations necessary to transform the graph of f(x) into that of g(x). 3) f(x) = Vx 12 8(x) = -V-3(x-2) +2 Restrict the domain of the function shown so its inverse is a function. 4) 5) If the range of function )= /(x) is > > 2, state the range of the new functiong(x)= -f(x + 5) -6. /1 /1A graph was reflected in the line y = x . Its reflection image is shown. Determine THE equation of the original graph in terms of x and y. 6) /2 7) The key point (12, -6) is on the graph of y =/(x). Determine the coordinates of its image point under each transformation. a) y =/(-4x) by = 1(2x) /1 /1 8) As a result of the transformation of the 9) The point A(5, 6) lies on the graph of graph of y = f(x) into the graph of y=f(x). What are the coordinates of its 1=-2f(x+ 6) -7, the point (2, -5) image A' on the graph of y =f- (x - 2) ? becomes point (x, )). Determine the value of (x, F). /2 12 10) For y = f(x) as shown, graph the 11) The graph of the function y = f(x) is following: y = -f(x - 2) + 3 given. Graph the following transformations of the function y-5 3x-6). show each stage /1 of the transformation in a different colour. 12 6 -5 -1-3 -2 -1 12 x

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