contestada

Select the correct answer.
Which function is represented by the graph?
y
-10
-8
-6
O C.
8
-
6
4
2
4-
-6
OA. y = √x + 2 - 1
OB. y =
√-x 2 + 1
y = -√√x + 2 - 1
OD. y = √x + 2 - 1
-8
0
2
6
8
10
-X

Select the correct answer Which function is represented by the graph y 10 8 6 O C 8 6 4 2 4 6 OA y x 2 1 OB y x 2 1 y x 2 1 OD y x 2 1 8 0 2 6 8 10 X class=

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mathstudent55

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.

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