draw the graph of $f(x)=left(\frac{1}{2}\right)^{x + 2}$

Explanation:

Step1: Find y - intercept

Set $x = 0$, then $f(0)=\left(\frac{1}{2}\right)^{0 + 2}=\frac{1}{4}$.

Step2: Analyze end - behavior

As $x\to+\infty$, $f(x)\to0$; as $x\to-\infty$, $f(x)\to+\infty$.

Step3: Plot points

Plot $(0,\frac{1}{4})$ and use end - behavior to draw a decreasing exponential curve.

Answer:

Draw a decreasing exponential curve passing through $(0,\frac{1}{4})$ with $x$ - axis as horizontal asymptote.