Question

Choose the function whose graph is given by

Answer 1

y = sin x + 2

Explanation:

Answer 2

B: y=cos(x) - 2

Explanation:

You can use a graphing calc, write out a table, or use your knowledge. In this case, I will use my knowledge.

You can automatically rule out any answers with sine because the sin graph will never start at y=1 when x=0 (remember the unit circle and parent graphs), so rule out A. Since the graph shown is a transformation of only vertical from y=cos(x), you can rule out C as well. Now you are left with B and D. B is the correct answer because if you chose D, the value for when x=0 would be y=0, while the value for x=0 for B would be y=-1, which is what you want.