Final answer:
To graph the function y=3*7^-x+2, apply transformations to the basic exponential function y=a*b^x. Shift the graph vertically, reflect it horizontally, and plot points to create the graph.
Step-by-step explanation:
To graph the function y = 3 * 7-x + 2, we can use transformations to shift and stretch the basic exponential function.
The basic exponential function is y = a * bx where a is the initial value and b is the base. In this case, a = 2 and b = 7-1.
First, apply a vertical shift upwards by 2 units to the basic function by adding 2 to the equation.
Next, apply a horizontal reflection by taking the negative of the exponent, resulting in y = 3 * 7-(-x) + 2.
Finally, plot the points on the graph by choosing different values for x and calculating the corresponding y-values, and connect the points to create the graph.