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Which equation is translated 5 units up from f(x) = 3^x

Which equation is translated 5 units up from f(x) = 3^x-example-1
User Chris Roy
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1 Answer

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Transformations of Exponential Functions

The parent exponential function is the following:


f(x)=b^x, where b is the base.

We can apply many different types of transformations to this function:


g(x)=a*b^(k(x-d))+c

  • a ⇒ describes vertical stretch
  • k ⇒ describes horizontal stretch
  • d ⇒ describes horizontal translation
  • c ⇒ describes vertical translation

Solving the Question

In this question, we are working with vertical translation.

  • When a function is translated up, c is positive.
  • When a function is translated down, c is negative.

We are translating the given function
f(x)=3^x 5 units up. This means that we will be adding 5 to the function:


g(x)=3^x+5

Answer

a.
g(x)=3^x+5

User Tim Visher
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