Radical Graphs

Front

What is the parent function of radical graphs?

Back

The parent function of radical graphs is the square root function, represented as y = √x.

Front

What is the domain of the function y = √(x - 3)?

Back

The domain of the function y = √(x - 3) is [3, ∞).

Front

How does the equation y = √(x + 3) affect the graph of the parent function?

Back

The equation y = √(x + 3) shifts the graph of the parent function left by 3 units.

Front

What is the effect of the equation y = √(x) - 3 on the graph?

Back

The equation y = √(x) - 3 shifts the graph of the parent function down by 3 units.

Front

What is the domain of the function y = √(x) + 3?

Back

The domain of the function y = √(x) + 3 is [0, ∞).

Front

Which equation represents a radical function that is shifted right 5 units and down 1 unit?

Back

The equation is y = √(x - 5) - 1.

Front

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

Back

The range of the function y = √(x) is [0, ∞).

Front

How do you determine the domain of a radical function?

Back

To determine the domain of a radical function, set the expression inside the radical greater than or equal to zero and solve for x.

Front

What transformation does the equation y = √(x - 3) + 2 represent?

Back

The equation y = √(x - 3) + 2 shifts the graph right by 3 units and up by 2 units.

Front

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

Back

A negative sign in front of a radical function reflects the graph across the x-axis.