Problema Solution
Use transformations of functions
to sketch a graph of
f(x) = -2 log2 (x-3) + 5
Show each of the transformations used
to obtain the graph from the basic
Functions in order on separate graphs
Answer provided by our tutors
f(x) = -2 log2 (x-3) + 5
first draw graph of f(x) = log2 (x)
then f(x) = -2log2 (x) graph gets inverted ie reflection in x axis
then f(x) = -2 log2 (x) + 5 graph moves up by 5 units
then f(x) = -2 log2 (x-3) + 5 graph moves right by 3 units