Question

Which of the following functions is graphed below?

Answer 1

Answer:

B.) y = |x + 4| - 2

Step-by-step explanation:

When values are added directly to "x", the function shifts to the left. When values are subtracted from "x", the graph shifts to the right. Because this graph has been shifted 4 units to the left, the function must be |x + 4|.

When values are added to the overall function, the graph shifts upwards. When values are subtracted from the overall function, the graph shifts downwards. Because the peak of this graph seems to have shifted downwards 2 units, there must be a (-2) in the function.

Therefore, the function must have the equation y = |x + 4| - 2.