Question

X-The linear parent function, A(x) = x, is transformed to g(x) = { * - 2. Whichstatement correctly compares the graphs of the functions?A. The graph of g(x) is less steep than the graph of f(x) and the y-intercept has been shifted up.O B. The graph of g(x) is less steep than the graph of f(x) and the yintercept has been shifted down.O c. The graph of g(x) is steeper than the graph of f(x) and the y-intercept has been shifted up.D. The graph of g(x) is steeper than the graph of f(x) and the juintercept has been shifted down.

Answer 1

Hello!

The first thing that we have to do is draw the graphs of function f(x) = x and g(x) = 1/3x - 2.

Below, we have the graph of f(x) in blue, and the graph of g(x) in red.

Let's analyze the two graphs:

• g(x) is less steep than f(x)

,

• the y-intercept has been shifted down.

,

•

So, the right alternative is B.