Radical Functions

Transformed square root functions, y = √f(x) from y = f(x), and radical equations solved graphically.

10 questions, free, marked as you go with a worked explanation on every one.

What this covers

• math30 1 radical functions

The questions

1. What is the domain of y = √(x − 4) + 1?
2. What is the range of y = −√(x + 2) + 3?
3. For y = 2√(x − 1) + 3, what is the value of y when x = 10?
4. The graph of y = √x is stretched horizontally by a factor of 1/4 and then translated 2 units up. Which equation describes the result?
5. The graph of y = f(x) is shown. What is the domain of y = √f(x)?
6. The graph of y = f(x) is shown. How many invariant points do the graphs of y = f(x) and y = √f(x) share?
7. Where are the invariant points of y = f(x) and y = √f(x)?
8. Solve √(x + 7) = x + 1 algebraically. What is the solution?
9. What is the solution of √(2x + 3) = x?
10. The graphs of y = √(x + 4) and y = x − 2 are shown. What is the solution of √(x + 4) = x − 2?

Answer these free