Question

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

Answer 1

Answer:

II. The vertical shift is up 3 spaces.

III. The square root graph will flip.

Step-by-step explanation:

The given equation is;

$f(x) = - \sqrt{x - 2} + 3$

From the given function, we deduce the parent function to be:

$g(x) = \sqrt{x}$

So we can see that the transformation is of the form.

$f(x) = - g(x - 2) + 3$

So there is a horizontal shift of 2 units to the right.

There is a vertical upward shift by 2 units.

There is also a reflection in the x-axis, so the parent graph will flip.