Question

A student graphed f(x) = x and g(x) = 1/3f(x) on the same coordinate grid. Which

statement describes how the graphs of f and g
are related?
A The graph of f is shifted 3 units left to create the graph of
g.
B The graph of f is less steep than the graph of g.
C The graph of f is shifted 3 units right to create the graph of g.
D
The graph of f is steeper than the graph of g.

Answer 1

The answer to this question is B. The graph of f is less steep than the graph of g. This is because when you divide a function by a constant, the resultant graph will always be less steep than the original function. If you divide a function by a value such as 1/3, the function will be 3 times less steep than the original.