Mathematics, 27.12.2019 00:31 Nathaliasmiles
Which function represents the graph of h(x)=2|x+3|ā1 after it is translated 2 units right?
me
a. f(x)=2|x+3|ā3
b. f(x)=2|x+5|ā1
c f(x)=2|x+3|+1
d. f(x)=2|x+1|ā1
Answers: 2
![\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}](/tpl/images/0434/2098/18274.png)
![\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill](/tpl/images/0434/2098/3dc7a.png)
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Which function represents the graph of h(x)=2|x+3|ā1 after it is translated 2 units right?
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