Graph Square Root Functions

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What transformation occurs when the function is reflected over the x-axis?

Back

The output values of the function are negated.

Front

How does the graph of y = √(x) + 2 differ from the parent function?

Back

It is shifted up 2 units.

Front

What does the equation y = √(x - 2) represent in terms of transformations?

Back

The graph is shifted right 2 units.

Front

What is the effect of adding a constant outside the square root function?

Back

It results in a vertical shift of the graph.

Front

What does the equation y = -√(x) indicate about the graph?

Back

The graph is reflected over the x-axis.

Front

How do you identify a vertical stretch in a square root function?

Back

By multiplying the square root function by a factor greater than 1.

Front

What transformation is represented by the equation y = √(x + 3)?

Back

The graph is shifted left 3 units.

Front

What is the effect of subtracting a value from x in the square root function?

Back

It results in a horizontal shift to the right.

Front

How does the graph of y = √(x) - 2 differ from the parent function?

Back

It is shifted down 2 units.