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# Translating units in a graph

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a. Given is the function f(x)=2x. The graph of this function is mirrored in the x axis and then shifted up two units to form g(x). Give the function rule of g(x).

b. The graph of f is moved horizontally to make it go through the point (0,8) to form h(x). What would be the function rule of h(x)?

c. Give the transformations if the graph of f goes through the point (0,8) and if the horizontal asymptote is the line y=4

edit: I think a. and b. would be g(x)= 2^-x + 2 and h(x)=7+2^x .... could someone check this for me maybe? :)

Apr 1, 2020
edited by Guest  Apr 1, 2020
edited by Guest  Apr 1, 2020

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I have been trying to figure out this question a bit by myself and I think a. would be g(x)= 2^-x  + 2 ? Could someone check if this is alright? I'm not quite sure how to solve b though

Apr 1, 2020
#2
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a. Given is the function f(x)=2x. The graph of this function is mirrored in the x axis and then shifted up two units to form g(x). Give the function rule of g(x).

b. The graph of f is moved horizontally to make it go through the point (0,8) to form h(x). What would be the function rule of h(x)?

c. Give the transformations if the graph of f goes through the point (0,8) and if the horizontal asymptote is the line y=4

Apr 1, 2020