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kipiarov [429]
2 years ago
13

A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a re

flection across the x-axis
Mathematics
1 answer:
slamgirl [31]2 years ago
4 0

A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a reflection across the x-axis is  f(x) = -8(3^x) .

<u>Step-by-step explanation:</u>

Here we have to make A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a reflection across the x-axis . Let's find out:

We have ,

  • A function that represents the exponential function f(x)= 3 to the power of x

Following is the equation for above statement :

⇒ f(x) = 3^x

  • A vertical stretch by a factor of 8

Following is the equation for above statement :

⇒ f(x) = 8(3^x)

  • A reflection across the x-axis

Following is the equation for above statement :

⇒ f(x) = 8(3^x)(-1)

⇒ f(x) = -8(3^x)

Therefore , A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a reflection across the x-axis is  f(x) = -8(3^x) .

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