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. \(h(x)=f(x-1)+4\)
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. \(\displaystyle{h}{\left({x}\right)}={\left({x}−{2}\right)}^{{3}}+{5}\)
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 parent functions described in this chapter. Describe the sequence of transformations from f to h.
\(\displaystyle{h}{\left({x}\right)}=−\sqrt{x+4}\)
h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
\(h(x)=|x+3|−5.\)
h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. \(h(x) = (x - 2)^3 + 2\)
