Square Root Transformations

Front

What is the parent function of the square root?

Back

y = √x

Front

Describe the transformation: Translate Left 2, Down 4.

Back

The function is shifted 2 units to the left and 4 units down.

Front

Which equation shifts a square root function left 3 units?

Back

y = √(x + 3)

Front

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

Back

It reflects the graph across the x-axis.

Front

What does the equation f(x) = -√x represent?

Back

It is the reflection of the square root parent function across the x-axis.

Front

How does the graph of y = √(x - 3) differ from y = √x?

Back

It shifts the graph 3 units to the right.

Front

What is the domain of the function y = √x?

Back

The domain is x ≥ 0.

Front

What is the range of the function y = √x?

Back

The range is y ≥ 0.

Front

What transformation does the equation y = √x + 4 represent?

Back

It shifts the graph 4 units up.

Front

How do you identify the graph of the square root parent function?

Back

It starts at the origin (0,0) and increases gradually to the right.