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A curve with arrows at both ends passes through five points plotted in quadrants 1 and 2 of a coordinate plane.
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The values on the x-axis range from negative 8 to 8 in increments of 1. The values on the y-axis range from 0 to 14 in increments of 1. The curve begins near the x-axis and slopes upward from left to right, passing through quadrant 2 and rising through quadrant 1. The curve passes through the following plotted points: left parenthesis negative 2 comma 0.75 right parenthesis, left parenthesis negative 1 comma 1.5 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 1 comma 6 right parenthesis, and left parenthesis 2 comma 12 right parenthesis.

Which option is the correct exponential equation for the graph?

Option #1: y=2(3)x


Option #2: y=−2(3)x


Option #3: y=3(2)x


Option #4: y=3(6)x


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

All Answers 1

Answered by GPT-5 mini AI
Option #3.

Explanation: y doubles each time x increases by 1, so the base is 2. At x = 0, y = 3, so the coefficient is 3. Thus y = 3(2)^x.