Find the inverse of a square root function and sketch it's graph

The video tutorial explains how to graph a radical function and its transformation by shifting it 2 units to the right. It covers the domain and range of the function, which are from 2 to infinity and 0 to infinity, respectively. The tutorial then demonstrates how to find the inverse of the function algebraically, emphasizing the importance of swapping the domain and range. Constraints are discussed, focusing on maintaining the positive form of the function. The video concludes by highlighting the swapped domain and range in the inverse function.

What is the domain of the function Y = sqrt(X - 2)?

• From -Infinity to 2

• From -2 to Infinity

• From 2 to Infinity

• From 0 to Infinity

How is the graph of Y = sqrt(X - 2) obtained from the parent function Y = sqrt(X)?

• Shifted 2 units to the right

• Shifted 2 units up

• Shifted 2 units to the left

• Shifted 2 units down

What is the first step in finding the inverse of a function algebraically?

• Reflect the graph over the X-axis

• Swap X and Y in the equation

• Add 2 to both sides

• Square both sides

What is the domain of the inverse function Y = X^2 + 2?

• From -2 to Infinity

• From -Infinity to 0

• From 0 to Infinity

• From 2 to Infinity

When finding the inverse, what happens to the domain and range?

• They are halved

• They remain the same

• They are swapped

• They are doubled