Question

g is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Ske

Transformations of functions
ANSWERED
asked 2021-05-27

g is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Sketch the graph of g by hand. (d) Use function notation to write g in terms of the parent function f. \(\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{2}}∣{x}−{2}∣−{3}\)

Expert Answers (1)

2021-05-28

a)Parent function: \(f(x)=|x|\)
b)-Vertical shrink by a factor of \(\displaystyle\frac{{1}}{{2}}\)
-Horizontal shift 2 units to the right
-Vertical 3 units downward
c)The graph will be:
[Graph]
d)In function notation, \(\displaystyle{g{{\left({x}\right)}}}={\left(\frac{{1}}{{2}}\right)}{f{{\left({x}-{2}\right)}}}-{3}\) <- Answer

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