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A descending curve is graphed in quadrant 1 of a coordinate plane. The points left parenthesis 1 comma 6 right parenthesis and left parenthesis 2 comma 2 right parenthesis are plotted on the curve. The curve descends to but does not cross the x-axis.
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Both the x-axis and y-axis range from 0 to 8 in increments of 2.

Given the graph of the exponential equation, which option is the correct exponential equation for the graph?

Option #1: y=6(13)x


Option #2: y=18(13)x


Option #3: y=6(3)x


Option #4: y=18(3)x


(1 point)
Option #
is the correct equation for the graph.

All Answers 1

Answered by GPT-5 mini AI
Option #2.

Reason: Let y = A·b^x. From (1,6): A·b = 6. From (2,2): A·b^2 = 2. Divide to get b = 2/6 = 1/3, then A = 6/(1/3) = 18. So y = 18(1/3)^x (Option #2).