Square Root Transformations

Front

What is a square root transformation?

Back

A square root transformation is a mathematical operation that involves taking the square root of a variable, often used to stabilize variance and make data more normally distributed.

Front

What does shifting a graph down by 10 units mean?

Back

Shifting a graph down by 10 units means that every point on the graph is moved 10 units lower on the y-axis.

Front

What does shifting a graph left by 2 units mean?

Back

Shifting a graph left by 2 units means that every point on the graph is moved 2 units to the left on the x-axis.

Front

What is the parent function of a square root function?

Back

Front

Back

This equation shifts the parent function right by 5 units and up by 4 units.

Front

What effect does adding a constant outside the square root have on the graph?

Back

Front

What effect does subtracting a constant outside the square root have on the graph?

Back

Front

Back

This equation shifts the parent function left by 5 units.

Front

How do you identify the transformations of a square root function?

Back

To identify transformations, look for changes in the equation such as shifts (adding/subtracting values) and stretches/compressions (multiplying by a constant).

Front

What is the effect of multiplying the square root function by a constant?

Back