Question

Which equation could represent the shown graph below

Oy=√x-2
O y = √x+2
O y = -√x+2
O y = -√x-2

Answer 1

Answer: y = -√x+2 (very last option)

Reasoning:

The function has a parent function of a square root function, and it is translated 2 units right. A horizontal translation is stated in the opposite direction, so even though the function shifted +2 units left, it is expressed as -2, hence x-2. The function then had all y-values reflected over the c-axis, hence the negative in front of the square root radical. This results in the transformed function of y = - √x-2