Question 3 of 10
This quiz: 100 point(s) possible
This question: 10 point(s) possible

Describe verbally the transformations that can be used to obtain the graph of g from the graph of f

To transform the graph of into , you will first apply a horizontal shift. The term indicates that the graph of will be shifted 6 units to the right. Next, the exponential term introduces a vertical stretch since it scales the function by 7. The combination of these transformations results in a graph that is not only displaced but also stretched vertically, giving it a more pronounced shape.

In practical terms, to sketch , first plot the graph of , then move every point 6 units to the right, and finally stretch the graph vertically by a factor of 7. This will significantly increase the values of for each corresponding , making the peaks higher, and troughs dip lower, creating a distinct visual variation from that reflects the dual transformations applied.