Identify all statements that are true when graphing the following square root function: f(x)=-√x-2 + 3

I. The horizontal shift is left 2 spaces.
II. The vertical shift is up 3 spaces.
III. The square root graph will flip.
IV. The square root graph will stretch by a factor of 2.

Respuesta :

Answer:

II. The vertical shift is up 3 spaces.

III. The square root graph will flip.

Step-by-step explanation:

The given function is

[tex]f(x) = - \sqrt{x - 2} + 3[/tex]

To graph this function, we need to shift the parent radical function √x , 2 units right.

Also we need to the parents function 3 units up.

Then , the negative sign tells us that the function will flip over the x-axis.

The second and 3rd options are correct.

Answer:

according to question option ii,iii are correct

because of the negative sign,then it flips

also,

vertical shift will be up to 3

as in f(x) +3 is given