Algebra B: Graphing Radical Equations

Front

What is the domain of the function in this graph?

Back

x ≥ 0

Front

What is the range of this graph?

Back

y ≤ 0

Front

Name the parent function of the graph.

Back

Square root function.

Front

Which of the following is the function shown in the graph? y = √(x - 3), y = √(x) + 3, y = √(x + 3), y = √(x) - 3

Back

y = √(x) + 3

Front

Which of these is not a point on the parent function, y = √x? (0,0), (2,4), (4,2), (1,1)

Back

(2,4)

Front

What is a radical equation?

Back

An equation that involves a variable within a radical (square root, cube root, etc.).

Front

How do you find the x-intercepts of a radical function?

Back

Set the function equal to zero and solve for x.

Front

What does the graph of a square root function look like?

Back

It starts at the origin (0,0) and increases gradually to the right.

Front

What is the effect of adding a constant to a square root function?

Back

It shifts the graph vertically.

Front

What is the effect of subtracting a constant from a square root function?

Back

It also shifts the graph vertically, but downwards.