Find the function.
-Find the function that is finally graphed after the following transformations are applied to the graph of $$y = \sqrt { x }$$ The graph is shifted down 3 units, reflected about the x-axis, and finally shifted left 2 units.
A) $y = - \sqrt { x - 2 } + 3$
B) $y = - \sqrt { x + 2 } - 3$
C) $y = - \sqrt { x + 2 } + 3$
D) $y = \sqrt { - x - 2 } - 3$

Question

Quizplus · Accepted Answer

The correct transformations applied to $y = \sqrt{x}$ are: shifted down 3 units ($-3$), reflected about the x-axis (multiply by $-1$), and shifted left 2 units (inside the square root, it becomes $x + 2$). Thus, the correct function is $y = - \sqrt{x + 2} - 3$.

Find the Function y=xy = \sqrt { x }y=x​ The Graph Is Shifted Down 3 Units, Reflected About the After

Find the Function $y = \sqrt { x }$ The Graph Is Shifted Down 3 Units, Reflected About the After