# Describe the transformations that must be applied to the parent function to obtain each of the following functions. a) f(x) = -3 log(2x) b) f(x) = log

Transformations of functions

Describe the transformations that must be applied to the parent function to obtain each of the following functions.
a) $$\displaystyle{f{{\left({x}\right)}}}=-{3}{\log{{\left({2}{x}\right)}}}$$
b) $$\displaystyle{f{{\left({x}\right)}}}={\log{{\left({x}-{5}\right)}}}+{2}$$
c) $$\displaystyle{f{{\left({x}\right)}}}={\left(\frac{{1}}{{2}}\right)}{\log{{5}}}{x}$$
d) $$\displaystyle{f{{\left({x}\right)}}}={\log{{\left(−{\left(\frac{{1}}{{3}}\right)}{x}\right)}}}−{3}$$

2021-06-19

Describe the transformation that made for the following terms. (a) $$\displaystyle{f{{\left({x}\right)}}}=-{3}{\log{{\left({2}{x}\right)}}}$$
$$a=-3, k=2$$
(b) $$\displaystyle{f{{\left({x}\right)}}}={\log{{\left({x}-{5}\right)}}}+{2}$$
$$d=5, c=2$$
(c) $$\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{2}}{\log{{\left({5}{x}\right)}}}$$
$$a=$$$$\displaystyle\frac{{1}}{{2}}$$, $$k=5$$
(d) $$\displaystyle{f{{\left({x}\right)}}}={\log{{\left(-{\left(\frac{{1}}{{3}}\right)}{x}\right)}}}-{3}$$
$$k=$$$$\displaystyle-{\left(\frac{{1}}{{3}}\right)}$$, $$c=-3$$