Square Root Graphs

Front

What is the parent function of square root graphs?

Back

The parent function is the square root function, denoted as f(x) = √x.

Front

What transformation occurs when a graph is shifted left by 1 unit?

Back

The transformation is represented by the equation f(x) = √(x + 1).

Front

How do you reflect a square root graph over the x-axis?

Back

To reflect the graph over the x-axis, the equation becomes f(x) = -√x.

Front

What does it mean to shift a graph up by 2 units?

Back

Shifting a graph up by 2 units means adding 2 to the function, resulting in f(x) = √x + 2.

Front

What is the equation that shifts the square root function left by 5 units?

Back

The equation is f(x) = √(x + 5).

Front

What is the range of the square root function?

Back

The range of the square root function is y ≥ 0.

Front

What is the domain of the square root function?

Back

The domain of the square root function is x ≥ 0.

Front

How do you determine the domain of a transformed square root function?

Back

The domain is determined by setting the expression inside the square root greater than or equal to zero.

Front

What is the effect of a vertical stretch on a square root graph?

Back

A vertical stretch multiplies the output of the function by a factor greater than 1, making the graph steeper.

Front

What is the effect of a vertical compression on a square root graph?

Back

A vertical compression multiplies the output of the function by a factor between 0 and 1, making the graph flatter.