Square Root Transformations

Front

What is the equation of the parent function for square roots?

Back

y = √(x)

Front

What transformation occurs when you add a number outside the square root function?

Back

Vertical shift up by that number.

Front

What transformation occurs when you subtract a number outside the square root function?

Back

Vertical shift down by that number.

Front

What transformation occurs when you add a number inside the square root function?

Back

Horizontal shift left by that number.

Front

What transformation occurs when you subtract a number inside the square root function?

Back

Horizontal shift right by that number.

Front

What does a negative sign in front of the square root function indicate?

Back

Reflection over the x-axis.

Front

What does a coefficient greater than 1 in front of the square root function indicate?

Back

Vertical stretch.

Front

What does a coefficient between 0 and 1 in front of the square root function indicate?

Back

Vertical compression.

Front

How do you express a function that is shifted right 2 and up 3 from the parent function?

Back

y = √(x - 2) + 3

Front

What is the effect of a vertical stretch by a factor of 3 on the function y = √(x)?

Back

y = 3√(x)