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Question

# Graph the function. Compare the graph with the graph of$y = \left( \frac { 1 } { 4 } \right) ^ { x }$.$y = 0.2 \cdot \left( \frac { 1 } { 4 } \right) ^ { x }$

Solution

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We make a table of values for $y=\left(\dfrac{1}{4}\right)^x$ and $y=0.2 \cdot \left(\dfrac{1}{4}\right)^x$.

$x$ $y=\left(\dfrac{1}{4}\right)^x$ $y=0.2 \cdot \left(\dfrac{1}{4}\right)^x$
$-2$ $16$ $\dfrac{16}{5}$
$-1$ $4$ $\dfrac{4}{5}$
$0$ $1$ $0.2$
$1$ $\dfrac{1}{4}$ $\dfrac{1}{20}$
$2$ $\dfrac{1}{16}$ $\dfrac{1}{80}$

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