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How can you use transformations to graph this function? y= 3 times 7^-x +2

User Lithium
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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.

User Amureki
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