4.5 Graphing Radical Functions

Front

What are the transformations of the function y = 2√(x) - 4?

Back

The function is transformed down 4 units and vertically stretched by a factor of 2.

Front

How do you find the x-intercept of a radical function?

Back

Set y = 0 and solve for x.

Front

What is the x-intercept of the function y = 2√(x) - 4?

Back

The x-intercept is (32, 0).

Front

What is the general form of a radical function?

Back

A radical function is generally expressed as y = a√(bx + c) + d.

Front

How does the value of 'a' affect the graph of a radical function?

Back

The value of 'a' affects the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).

Front

What is the range of the function y = 2√(x) - 4?

Back

The range is [-4, ∞).

Front

How do you determine the range of a radical function?

Back

The range can be determined by analyzing the minimum or maximum values of the function based on its transformations.

Front

What does the notation [ -2, ∞ ) represent in terms of range?

Back

It indicates that the range starts at -2 and extends to positive infinity.

Front

What is the significance of the vertex in a radical function?

Back

The vertex represents the minimum or maximum point of the graph, depending on the orientation.

Front

How do you match an equation to its graph?

Back

Analyze key features such as intercepts, vertex, and transformations to determine the correct equation.