fatahabdi8054 fatahabdi8054
  • 12-12-2018
  • Mathematics
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If you vertically stretch the exponential function f(x)=2^x by a factor of 3, what is the equation of the new function

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MrsStrong
MrsStrong MrsStrong
  • 18-12-2018

Answer:

[tex]y=3*2^{x}[/tex]

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

[tex]y=ab^{2}[/tex].

If our equation is [tex]f(x)=2^x[/tex], 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.

[tex]y=3*2^{x}[/tex]


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