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

When x is replaced by x - h, the graph shifts h units horizontally.
When y is replaced by y - k, the graph shifts k units vertically.

Answer 2

\(g(x) = \log_2 x\)

is the same as

\(y = \log_2 x\)

What values of h and k do you need to end up with

\(f(x) = \log_2(x + 3) + 2\)