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Talja [164]
3 years ago
5

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, what is the equation of the new function

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

y=3*2^{x}

Step-by-step explanation:

A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form

y=ab^{2}.

If our equation is f(x)=2^x, then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.

y=3*2^{x}


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