Question: The table below contains the values of the function y=f(x) . x 0 1 2 3 4 5 6 7 f(x) 0 0.5 2 4.5
The table below contains the values of the function y=f(x) . x 0 1 2 3 4 5 6 7 f(x) 0 0.5 2 4.5 8 12.5 18 24.5 Each function in parts (a)-(c) is a translation (horizontal/vertical/or both) of f(x) . In each case the function can be written in the form y=f(x+h)+k , where h and k denote the corresponding horizontal and vertical shifts. For each of the tables below find a possible formula by applying transformations to f(x) . EXAMPLE: if the values for a function k(x) are: x 0 1 2 3 4 5 6 7 k(x) -1 -0.5 1 3.5 7 11.5 17 23.5 then k(x)=f(x)1 . (a) x 0 1 2 3 4 5 6 7 h(x) 2 2.5 4 6.5 10 14.5 20 26.5 h(x)= f(x)+2 (b) x 0 1 2 3 4 5 6 7 g(x) 0.5 2 4.5 8 12.5 18 24.5 32 g(x)= (c) x 0 1 2 3 4 5 6 7 m(x) 2.5 4 6.5 10 14.5 20 26.5 34 m(x)=
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