graph radical functions

Front

What is a radical function?

Back

Front

What does the graph of a square root function look like?

Back

Front

What is the effect of a vertical stretch on a radical function?

Back

A vertical stretch by a factor of 'a' (where a > 1) multiplies the output of the function, making the graph steeper.

Front

How does a vertical shift affect the graph of a radical function?

Back

Front

What is a horizontal shift in the context of radical functions?

Back

Front

What does a horizontal compression mean for a radical function?

Back

Front

Back

This represents a vertical stretch by a factor of 2 and a downward shift of 4 units.

Front

Back

This function has a horizontal shift left by 3 units and a vertical shift down by 4 units.

Front

What is the significance of the coefficient in front of a radical function?

Back

The coefficient affects the vertical stretch or compression of the graph. A coefficient greater than 1 stretches the graph, while a coefficient between 0 and 1 compresses it.

Front

Back

This represents a cube root function shifted right by 3 units and up by 5 units.