Square Root Transformations

Front

What is the parent function of square root transformations?

Back

The parent function is y = √(x).

Front

What does the transformation y = √(x) + 3 represent?

Back

This represents a vertical shift of the parent function up by 3 units.

Front

What does the transformation y = -√(x) indicate?

Back

This indicates a reflection of the parent function over the x-axis.

Front

How does the transformation y = √(x - 5) + 4 affect the graph?

Back

This shifts the graph right by 5 units and up by 4 units.

Front

What is the effect of the transformation y = √(x + 5)?

Back

This shifts the graph left by 5 units.

Front

What does the transformation y = -√(x) - 2 do to the graph?

Back

This reflects the graph over the x-axis and shifts it down by 2 units.

Front

If f(x) = √(x - 3), what transformation is applied to the parent function?

Back

The graph is shifted right by 3 units.

Front

What is the effect of a negative sign in front of the square root function?

Back

It reflects the graph over the x-axis.

Front

What does the term 'vertical shift' mean in the context of transformations?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What does 'horizontal shift' refer to in transformations?

Back

A horizontal shift moves the graph left or right without changing its shape.