Graphing Radical Functions

Front

What is the parent function of a radical function?

Back

The parent function of a radical function is y = √x.

Front

How does the graph of y = √(x - 2) differ from the parent function?

Back

The graph of y = √(x - 2) is shifted 2 units to the right.

Front

What transformation does y = √(x) + 2 represent?

Back

The graph is shifted 2 units up.

Front

What transformation does y = √(x + 2) represent?

Back

The graph is shifted 2 units to the left.

Front

What is the domain of the function y = √(x - 2)?

Back

The domain is [2, ∞).

Front

What is the range of the function y = √(x - 2)?

Back

The range is [0, ∞).

Front

How do you find the domain of a radical function?

Back

Set the expression inside the radical greater than or equal to zero.

Front

What does it mean for a graph to be reflected over the x-axis?

Back

The graph is flipped upside down.

Front

What does it mean for a graph to be reflected over the y-axis?

Back

The graph is flipped horizontally.

Front

What is the range of the function y = √(x) - 2?

Back

The range is [-2, ∞).