Question

Select the correct answer.

Answer 1

Answer:

⦿ C.

Step-by-step explanation:

The graph of y = √x is half of a parabola, with vertex at the origin, above the x-axis, and opening to the right.

Here, we have half of a parabola below the x-axis. That means y = -√x. Also, there is a translation of 2 units to the left. The translation happens when x is substituted with x + 2. In addition, there is a vertical shift of 1 unit down. That means y is substituted with y + 1.

We have

y + 1 = -√(x + 2)

Solve for y:

y = -√(x + 2) - 1

Answer: ⦿ C.