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

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) $$\displaystyle{f{{\left({x}\right)}}}={\log{{\left(−{\left(\frac{{1}}{{3}}\right)}{x}\right)}}}−{3}$$

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Khribechy
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