# 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

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. $g\left(x\right)=\frac{1}{2}\mid x-2\mid -3$

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FieniChoonin

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