Let f and g be functions. If the graph of g is obtained from the graph of f by translating the graph of f two units to the left, which of the following gives the relationship between f(x) and g(x) ?A.g(x) = f(x) - 2B.g(x) = f(x) + 2C.g(x) = f(x - 2)D.g(x) = f(x + 2)

Suppose that g(x) = f(x) – 2. Which statement best compares the graph of g(x) with the graph of f(x)?A.The graph of g(x) is vertically stretched by a factor of 2.B.The graph of g(x) is shifted 2 units up.C.The graph of g(x) is shifted 2 units down.D.The graph of g(x) is shifted 2 units to the left

Which statement describes the graph of function g?f(x) = 2xg(x) = 2x + 3 A. The graph of g is 3 units below the graph of f. B. The graph of g is 3 units to the right of the graph of f. C. The graph of g is 3 units to the left of the graph of f. D. The graph of g is 3 units above the graph of f.

How does the graph of 𝑓(𝑥)=−32𝑥−4f(x)=−3 2x −4 differ from the graph of 𝑔(𝑥)=−32𝑥g(x)=−3 2x ?A.The graph of 𝑓(𝑥)f(x) is shifted four units to the right of the graph of 𝑔(𝑥)g(x).B.The graph of 𝑓(𝑥)f(x) is shifted four units down from the graph of 𝑔(𝑥)g(x).C.The graph of 𝑓(𝑥)f(x) is shifted four units up from the graph of 𝑔(𝑥)g(x).D.The graph of 𝑓(𝑥)f(x) is shifted four units to the left of the graph of 𝑔(𝑥)g(x).SUBMITarrow_backPREVIOUS

The graph of g(x), shown below, resembles the graph of f(x) = x4 - x2, but it has been changed somewhat. Which of the following could be the equation of g(x)?A.f(x) = x4 - x2 - 2B.f(x) = x4 - x2 + 2C.f(x) = (x - 2)4 - (x - 2)2D.f(x) = (x + 2)4 - (x + 2)2SUBMITarrow_backPREVIOUS

Consider the function f(x)=2x.a) Write the equation for the function g(x) obtained by shifting f(x) three units to the up.b) Determine the domain and range of g(x).c) Now, consider h(x)=−2x. Describe the transformation applied to f(x) to obtain h(x).d) Sketch the graphs of f(x), g(x), and h(x) on the same set of axes.