Radical Graphs Review

Front

What is the parent function of the square root function?

Back

The parent function of the square root function is y = √x.

Front

What transformation occurs when the function y = √x is reflected over the x-axis?

Back

The transformation results in the function y = -√x.

Front

What does the 'a' value represent in the function y = a√(x)?

Back

The 'a' value represents the vertical stretch or compression of the graph.

Front

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

Back

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

Front

What is the effect of adding a constant to the square root function, such as in y = √x + 2?

Back

Adding a constant shifts the graph vertically; in this case, it shifts the graph up by 2 units.

Front

What is the effect of a negative sign in front of the square root function, such as in y = -√x?

Back

A negative sign reflects the graph over the x-axis.

Front

Identify the transformation of the function y = √(x + 1).

Back

The function y = √(x + 1) is shifted 1 unit to the left.

Front

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

Back

The domain is x ≥ 0.

Front

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

Back

The range is y ≥ 0.

Front

What does the graph of y = -√(x + 1) look like compared to y = √(x)?

Back

It is reflected over the x-axis and shifted 1 unit to the left.