Which function could be a stretch of the exponential decay
1 answer:
Answer:
(x) = 2(1/6)^x
Step-by-step explanation:
To easily solve this problem, we can graph each option using a graphing calculator, or any equation plotting tool.
Case 1
f(x) = 2(6)^x
Case 2
f(x) = 1/2*(6)^x
Case 3
f(x) = 2(1/6)^x
Case 4
f(x) = 1/2*(1/6)^x
By looking at the pictures below, we can tell that the correct option is
Case 3
f(x) = 2(1/6)^x
Since the stretch is done by a factor of 2
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<h3><u>Explanation</u></h3>
- Convert the equation into slope-intercept form.
where m = slope and b = y-intercept.
What we have to do is to make the y-term as the subject of equation.
- Simplify
From y = mx+b, the slope is 3.
<h3><u>Answer</u></h3>