Question

Which best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x? a translation 3 units right and 2 units up a translation 3 units left and 2 units up a translation 3 units up and 2 units right a translation 3 units up and 2 units left

Answer 1

a translation 3 units left and 2 units up

Explanation:

edge2021

Answer 2

The value inside of the parentheses (x + 3) in logarithmic functions determines the horizontal shift. It goes opposite of its value. In other words, adding 3 to the x value moves the graph to the left. There is the first part.

Second, the +2 on the end. This will either raise or lower the graph. In this case, it moves it up 2 compared to the original graph.

So, the answer is 3 unites left and 2 units up.

Hope that helps!