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

A the graph of g (x) is shifted 4 units up

B the graph of g (x) is shifted 4 units to the left

C the graph of g (x) is vertically stretched by a factor of 4

D the graph of g (x) is shifted 4 units down

Question

Alonzo Boyle

Mathematics

13 February, 12:55

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

A the graph of g (x) is shifted 4 units up

B the graph of g (x) is shifted 4 units to the left

C the graph of g (x) is vertically stretched by a factor of 4

D the graph of g (x) is shifted 4 units down

+2

Answers (1)

Know the Answer?

Virginia Ryan · Answer 1

D. The x in the function is not being manipulated, meaning it is not a horizontal shift. Therefore, it is a vertical shift. Since the shift is negative, the function is shifted 4 units down. Think about it: suppose f (x) = x. If g (x) = x - 4, then the function would just be the graph of x shifted down 4. Apply this logic to any equation and it works.