Question

Describe the transformations of f(x)=sqrtt x that result in the functions listed below. g(x)= -sqrt x+2 h(x)= (sqrt x-3)+4

Transformations of functions
ANSWERED
asked 2021-05-14
Describe the transformations of \(\displaystyle{f{{\left({x}\right)}}}=\sqrt{{t}}{x}\) that result in the functions listed below.
\(\displaystyle{g{{\left({x}\right)}}}=-\sqrt{{x}}+{2}\)
\(\displaystyle{h}{\left({x}\right)}={\left(\sqrt{{x}}-{3}\right)}+{4}\)

Answers (1)

2021-05-15
(a) g(x) is a horizontal translation of 2 units to the left then a reflection over the x-axis of f(x)
(b) h(x) is a horizontal translation of 3 units to the right then a vertical translation os 4 units up of graph of f(x).
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