Square Root Functions

Front

What is a square root function?

Back

A square root function is a function of the form f(x) = √(x - h) + k, where (h, k) is the vertex of the graph.

Front

What is the parent function of square root functions?

Back

The parent function of square root functions is f(x) = √x.

Front

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

Back

The graph of a square root function is a curve that starts at the vertex and increases to the right.

Front

How does the graph of y = √(x) + 3 differ from y = √(x)?

Back

The graph of y = √(x) + 3 is shifted up 3 units compared to y = √(x).

Front

What transformation does y = √(x - 3) represent compared to y = √(x)?

Back

The graph of y = √(x - 3) is shifted right 3 units compared to y = √(x).

Front

What is the domain of the function f(x) = √(x - 4)?

Back

The domain of f(x) = √(x - 4) is x ≥ 4.

Front

What is the range of the function f(x) = √(x)?

Back

The range of f(x) = √(x) is y ≥ 0.

Front

What does a negative sign in front of a square root function indicate?

Back

A negative sign indicates that the graph is reflected over the x-axis.

Front

What is the effect of adding a constant outside the square root, like in f(x) = √(x) - 2?

Back

Adding a constant outside the square root shifts the graph down by that constant.

Front

What is the effect of subtracting a constant inside the square root, like in f(x) = √(x - 4)?

Back

Subtracting a constant inside the square root shifts the graph to the right by that constant.