How is the graph of y=√-2x related to its parent function, y=√x?
a) it is translated horizontally by 2 units and reflected over the x-axis.
b) it is translated horizontally by 2 units and reflected over the y-axis.
c) it is horizontally compressed by a factor of 2 and reflected over the x-axis.
d) it is horizontally compressed by a factor of 2 and reflected over the y-axis.

Option D - It is horizontally compressed by a factor of 2 and reflected over the y-axis.

Step-by-step explanation:

Given : The graph of  related to its parent function .

To find : How is the graph translated?

Solution :

Let,

The parent function

Translated function

The reflection of the point (x,y) across  the y-axis is the point (-x,y).

f(x,y)→f(-x,y)

The compression horizontally the function became

y=f(x)→ y=f(bx) , b is the compression factor and b>1

→ , function is compressed by 2 unit.

Therefore, Option D is correct.

It is horizontally compressed by a factor of 2 and reflected over the y-axis.

We plot the graph of both the equations in which translation is shown.

Refer the attached graph below.

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