Question

What is the effect on the graph of f(x) = 1 when it is transformed to

g(x) = 1 – 162
O A. The graph of f(x) is shifted 16 units up.
O B. The graph of f(x) is shifted 16 units to the left.
O C. The graph of f(x) is shifted 16 units down.
O D. The graph of f(x) is shifted 16 units to the right.

Answer 1

Answer: C) Shifted 16 units down

The minus 16 at the end is directly the reason why. Think of y = 1/x, and subtracting 16 from both sides to get y-16 = (1/x) - 16. The y-16 will shift every point down 16 units. For instance, the point (1, 1) moves to (1, -15).