Graphing Radical Functions

Front

What is the domain of the function y = √(x + 1)?

Back

x ≥ -1

Front

What transformation occurs when the function y = √(x) is changed to y = -√(x)?

Back

Reflect over x-axis

Front

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

Back

y = √(x - 5) - 1

Front

What transformation is described by the equation y = -√(x + 1) + 2?

Back

Left 1, Reflect over x-axis, up 2

Front

Match the equation y = √(x - 2) with its graph. What does this graph represent?

Back

The graph of y = √(x - 2) is a radical function shifted right 2 units.

Front

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

Back

y ≥ 0

Front

How does the graph of y = √(x) change when the equation is modified to y = √(x + 3)?

Back

The graph shifts left 3 units.

Front

What is the effect of adding a constant outside the radical, such as in y = √(x) + 4?

Back

The graph shifts up 4 units.

Front

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

Back

x ≥ 4

Front

Describe the transformation of the function y = √(x) when it becomes y = √(x - 2) + 1.

Back

Right 2, Up 1