Graph the equation on paper, and then choose the correct graph on the right.
\[
y=\left(\frac{1}{4}\right)^{x}
\]
Choose the correct graph.
Answer
\(\boxed{\text{Final Answer: The graph of the function } y=\left(\frac{1}{4}\right)^{x} \text{ is a decreasing function that starts from a high value when x is negative and decreases towards 0 as x increases.}}\)
Step 1 ：The question is asking to graph the equation \(y=(1/4)^x\). This is an exponential function with base 1/4.
Step 2 ：The graph of an exponential function with base less than 1 is a decreasing function. It starts from a high value (when x is negative) and decreases towards 0 as x increases.
Step 3 ：To generate the graph, we can use a range of x values and compute the corresponding y values using the given equation. Then we plot these points to get the graph.
Step 4 ：The graph generated shows a decreasing function as expected. The function starts from a high value when x is negative and decreases towards 0 as x increases. This is consistent with the properties of an exponential function with base less than 1.
Step 5 ：\(\boxed{\text{Final Answer: The graph of the function } y=\left(\frac{1}{4}\right)^{x} \text{ is a decreasing function that starts from a high value when x is negative and decreases towards 0 as x increases.}}\)
