Which represents the reflection of f(x) = √x over the y-axis?

1. the parent function is defined for all and takes values (see red line in the attached diagram).

2. when reflecting over the y-axis, the domain of the function becomes and the range of the function is the same as the range of the parent function (blue line in the attached diagram).

this means that the function is the reflection of the function over the y-axis.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.