The parent function, f(x)=5^x, has been vertically compressed by a factor of one-half, shifted to the right three units and down two units. Choose the correct function to repres…

Question

The parent function,
`f(x)=5^x`, has been vertically compressed by a factor of one-half, shifted to the right three units and down two units.

Choose the correct function to represent the transformation.


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Answer 1

Given: f(x) = 5^x. This is an exponential function.

Vertical compression by a factor of (1/2) results in g(x) = (1/2)5^x.

If this is shifted to the right 3 units, we get h(x) = (1/2)5^(x-3).

Finally, if this is shifted down 2 units, we get k(x) = (1/2)5^(x-3) - 2 (answer)