Solving & Graphing Radical Functions

Front

What is a vertical shrink in a radical function?

Back

A vertical shrink occurs when the output values of the function are multiplied by a factor less than 1, compressing the graph vertically.

Front

What is the range of the function y = √(x) - 2?

Back

The range is [ -2, ∞ ).

Front

Solve the equation √(x) = 6.

Back

x = 36.

Front

What transformation does the equation y = √(x - 1) + 2 represent?

Back

It shifts the graph of the radical function right by 1 unit and up by 2 units.

Front

Match the equation y = -√(x + 1) with its graph.

Back

This equation represents a downward-opening radical function shifted left by 1 unit.

Front

What is the effect of a horizontal stretch by a factor of 3 on the function y = √(x)?

Back

The function becomes y = √(x/3), stretching the graph horizontally.

Front

Define the domain of the function y = √(x - 4).

Back

The domain is [4, ∞ ).

Front

What does the equation y = -√(x) + 1 represent?

Back

It represents a downward-opening radical function shifted up by 1 unit.

Front

How do you identify the vertex of a radical function?

Back

The vertex is the point where the function starts, typically at the lowest point for a square root function.

Front

What is the transformation for the function y = √(x + 2)?

Back

It shifts the graph of the radical function left by 2 units.