Question

The linear parent function f(x) = x is transformed to g(x) = 1/3x-5. Which statement correctly compares the graphs of the functions?

Answer 1

A

Explanation:

The graph of the parent function f(x)=x is the straight line that passes trough the origin and is the bisector of first and third coordinate quadrants (red line in attached diagram).

The graph of the function g(x)=1/3x-5 is the straight line that passes through the point (0,-5) and is less steep (because the slope 1/3 is less than the slope 1). This line is blue line in attached diagram.

So, correct option is option A