Answer:
A
Explanation:
Let's visualize the transformation of the function y = √x to y = √(x-3) + 2.
First, we know that the original function y = √x represents a square root graph that starts at the origin and goes up and to the right, like a boss.
Now, the transformation y = √(x-3) + 2 adds some spice to this boss graph. It shifts the graph 3 units to the right, so it's like the boss is taking a fancy step to the right. And it also shifts the graph 2 units up, so it's like the boss is feeling extra confident and raising the bar.
In other words, the transformed function takes the original boss graph and makes it even cooler, with a new swagger that shows off the shift to the right and the boost in height.
And when it comes to answering the question, we can see that the transformed function corresponds to answer choice (a), which says that the curve would be shifted down 3 units and shifted right 2 units. So it looks like we've got a smooth answer that matches the smooth transformation!