Step 1

Step 2

Graph of \(\displaystyle{2}^{{{x}}}\) is shown as a dotted curve.

The graph of \(\displaystyle{2}^{{{x}}}\ +\ {2}\) is the graph of \(\displaystyle{2}^{{{x}}}\) translated left by two units.

Its asymplote has equation \(\displaystyle{y}={2}\)

Step 2

Graph of \(\displaystyle{2}^{{{x}}}\) is shown as a dotted curve.

The graph of \(\displaystyle{2}^{{{x}}}\ +\ {2}\) is the graph of \(\displaystyle{2}^{{{x}}}\) translated left by two units.

Its asymplote has equation \(\displaystyle{y}={2}\)