Transformation of radicals

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What transformation occurs when the function is written as y = √(x - 3)?

Back

Shifted right 3

Front

What transformation occurs when the function is written as y = -√x?

Back

Reflection over the x-axis

Front

What transformation occurs when the function is written as y = √x + 4?

Back

Shifted up 4

Front

What transformation occurs when the function is written as y = √(x + 2)?

Back

Shifted left 2

Front

What is the effect of a negative sign in front of the square root function, such as y = -√x?

Back

It reflects the graph over the x-axis.

Front

How does the graph of y = √(x) compare to y = √(x - 1)?

Back

The graph of y = √(x - 1) is shifted right 1 unit.

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 occurs when the function is written as y = 2√x?

Back

Vertical stretch by a factor of 2.