use what you know about reflections of functions to match the graph to the function rule.\ny = 3^x\ny =…

Explanation:

Step1: Analyze $y = 3^{x}$

The function $y = 3^{x}$ is an exponential - growth function. It passes through the point $(0,1)$ and increases as $x$ increases. So, $y = 3^{x}$ matches graph $b$.

Step2: Analyze $y = 3^{-x}=( \frac{1}{3})^{x}$

The function $y = 3^{-x}$ is an exponential - decay function. It is a reflection of $y = 3^{x}$ across the $y$ - axis. It passes through the point $(0,1)$ and decreases as $x$ increases. So, $y = 3^{-x}$ matches graph $a$.

Step3: Analyze $y=-3^{x}$

The function $y=-3^{x}$ is a reflection of $y = 3^{x}$ across the $x$ - axis. It passes through the point $(0, - 1)$ and decreases as $x$ increases. So, $y=-3^{x}$ matches graph $c$.

Answer:

$y = 3^{x}$ matches graph $b$; $y = 3^{-x}$ matches graph $a$; $y=-3^{x}$ matches graph $c$