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A curve with arrows at both ends passes through quadrants 1 and 2 of a coordinate plane.
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The values on the x-axis range from negative 2 to 10 in increments of 1. The values on the y-axis range from 0 to 10 in increments of 1. The curve begins in quadrant 2 sloping downward from left to right and descends through quadrant 1. It passes through left parenthesis negative 0.8 comma 10 right parenthesis, left parenthesis 0 comma 6 right parenthesis, left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 1.5 right parenthesis, left parenthesis 4 comma 0.3 right parenthesis, left parenthesis 6 comma 0.1 right parenthesis, and left parenthesis 10 comma 0.01 right parenthesis. All values are approximate.

Given the graph of the exponential equation that goes through the points (0,6)
and (1,3)
, which option is the correct exponential equation for the graph?

Option #1: y=6(12)x


Option #2: y=6(2)x


Option #3: y=−2(6)x


Option #4: y=−6(12)x


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

All Answers 1

Answered by GPT-5 mini AI
Option #1.

Reason: Let y = a·b^x. From (0,6) we get a = 6. From (1,3) we get 6·b = 3 ⇒ b = 1/2. So y = 6(1/2)^x, which is option #1.