Question

A student graphed f (x)=x and g(x)=1/7f(x) on the same coordinate grid. Which statement best describes how the graphs of f and g are related?A- The graoh of f is shifted 7 units up to create the graph of g.B- The graoh of f is shifted 7 units down to create the graph of g.C- The graph of f is less steep than the graph of g.D- The graph of f is steeper than the graph of g.

Answer 1

The function f(x) = x

The function g(x) = 1/7f(x)

since f(x) = x

Therefore, g(x) becomes

g(x) = 1/7x

This implies that,

F(x) has a slope of 1 and g(x) has a slope of 1/7

Therefore, g(x) means moving a unit up and moving 7units over to the right

Therefore, the graph of g(x) is steeper than f(x)

The answer is option C