expert advice

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. \(\displaystyle{g{{\left({x}\right)}}}=−{\left({x}+{3}\right)}^{{3}}−{10}\)

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. \(\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{2}}∣{x}−{2}∣−{3}\)

h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Sketch the graph of h by hand. (d) Use function notation to write h in terms of the parent function f. \(\displaystyle{h}{\left({x}\right)}=∣{2}{x}+{8}∣−{1}\)

h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Sketch the graph of h by hand. (d) Use function notation to write h in terms of the parent function f. \(h(x)=f(x-1)+4\)