Question

Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =

Answer 1

The function was expanded vertically by 5, and then translated vertically upwards 6 units.

Which is the third option in the list of possible answers.

Explanation:

Recall that the types of transformations associated with:

A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;

B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.

Therefore, the function
`f(x) = log(x)` being transformed into
`g(x)=5\,log(x)+6`

consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.