How can you use transformations to graph this function? Explain your steps.

Correct Answer:

To graph the function y = 3 * 7^(-x) + 2, start with the parent exponential function y = 7^x. First, reflect the graph across the y-axis to account for the negative exponent (-x), which changes the function to y = 7^(-x). Next, apply a vertical stretch by a factor of 3, resulting in y = 3 * 7^(-x). Finally, shift the entire graph up 2 units to account for the +2. This transformation changes the horizontal asymptote from y = 0 to y = 2.