Question
Use the graph of $f$ to describe the transformation that yields the graph of $g .$ Then sketch the graphs of $f$ and $g$ by hand.$$f(x)=\left(\frac{1}{4}\right)^{x}, \quad g(x)=\left(\frac{1}{4}\right)^{-x}+2$$
Step 1
This is an exponential decay function with a base less than 1. The graph of \( f(x) \) will pass through the point (0, 1) and approach the x-axis as \( x \) increases. Show more…
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Use the graph of $f$ to describe the transformation that yields the graph of $g$. Then sketch the graphs of $f$ and $g$ by hand.$$f(x)=\left(\frac{1}{4}\right)^{x}, \quad g(x)=\left(\frac{1}{4}\right)^{-x}+2$$.
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Use the graph of $f$ to describe the transformation that yields the graph of $g$. Then sketch the graphs of $f$ and $g$ by hand. $$f(x)=\left(\frac{1}{2}\right)^{x}, g(x)=\left(\frac{1}{2}\right)^{-(x+4)}$$
Use the graph of $f$ to describe the transformation that yields the graph of $g$. Then sketch the graphs of $f$ and $g$ by hand.$$f(x)=\left(\frac{1}{2}\right)^{x}, \quad g(x)=\left(\frac{1}{2}\right)^{-(x+4)}$$.
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