![\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/0377/7122/18274.png)
The f(x)=2^x and g(x)=f(x+k). if k=-5, what can be concluded about the graph of g(x).
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Mathematics, 16.11.2019 20:31, jdvazquez18p7a7vs
The f(x)=2^x and g(x)=f(x+k). if k=-5, what can be concluded about the graph of g(x).
the graph of g(x) is shifted vertically :
a) 5 units above the graph of f(x)
b) 5 units below the graph of f(x)
c) the graph is not shifted vertically from the graph of f(x)
the graph of g(x) is shifted horizontally:
a) 5 units to the left of the graph of f(x)
b) 5 units to the right of the graph of f(x)
c) the graph is not shifted horizontally from the graph of f(x)
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Answers: 1
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