# 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

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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Describe the transformation that made for the following terms.

(a) $$f(x)=-3log(2x)$$
$$a=-3, k=2$$
(b) $$f(x)=\log(x-5)+2$$
$$d=5, c=2$$
(c) $$\displaystyle f{{\left({x}\right)}}=\frac{1}{{2}} \log{{\left({5}{x}\right)}}$$
$$\displaystyle{a}=​​​​​​​\frac{1}{{2}},{k}={5}$$
(d) $$\displaystyle f{{\left({x}\right)}}= \log{{\left(-{\left(\frac{1}{{3}}\right)}{x}\right)}}-{3}$$
$$\displaystyle{k}=​​​​​​​-{\left(\frac{1}{{3}}\right)},{c}=-{3}$$