Question

Suppose g(x)=f(x-3)-4. which statement best compares the graph of g(x) with the graph of f(x)

Answer 1

Answer:

D.) The graph of g(x) is shifted 3 units right and 4 units down

Step-by-step explanation:

When a number is added directly to an "x" variable, the graph of the function shifts to the left. When this number is negative, the graph shifts to the right. Therefore, if a -3 is directly modifying the "x" variable, the graph shifts 3 units to the right.

When a number is added to the overall function, the graph of the function shifts up. When this number is negative, the graph shifts down. Therefore, if a -4 is being added to the overall function, the graph shifts down 4 units.