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

fortdefruitI 2021-06-05 Answered

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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Expert Answer

Lacey-May Snyder
Answered 2021-06-06 Author has 24447 answers

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) \(\displaystyle f{{\left({x}\right)}}= \log{{\left(-{\left(\frac{1}{{3}}\right)}{x}\right)}}-{3}\)
\(\displaystyle{k}=​​​​​​​-{\left(\frac{1}{{3}}\right)},{c}=-{3}\)

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