has a horizontal asymptote at $y=0$, a range of $\left(0,\infty \right)$, and a domain of $\left(-\infty ,\infty \right)$, which are unchanged from the parent function. For example, if we begin by graphing the parent function $f\left(x\right)={2}^{x}$, we can then graph the stretch, using $a=3$, to get $g\left(x\right)=3{\left(2\right)}^{x}$ as shown on the left in Figure 8, and the compression, using $a=\frac{1}{3}$, to get $h\left(x\right)=\frac{1}{3}{\left(2\right)}^{x}$ as shown on the right in Figure 8. \$('#content .addFormula').click(function(evt) { ' Transformations of exponential graphs behave similarly to those of other functions. Which of the following functions represents the transformed function (blue line… When we multiply the input by –1, we get a reflection about the y-axis. How shall your function be transformed? Figure 7. An activity to explore transformations of exponential functions. window.jQuery || document.write('