graphs of square root functions and transformation

Front

What is the domain of the graph of the square root function?

Back

The domain is [0, ∞).

Front

What is the parent function of the square root graph?

Back

The parent function is y = √x.

Front

What is the relationship between the square root function and the quadratic function?

Back

They are inverses of each other.

Front

Which graph represents the square root parent function?

Back

Graph B represents the square root parent function.

Front

What is the range of the square root function?

Back

The range is [0, ∞).

Front

How does the graph of y = √x behave as x increases?

Back

As x increases, y increases, creating a curve that rises to the right.

Front

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

Back

The graph shifts horizontally to the right by h units.

Front

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

Back

The graph is vertically stretched or compressed by a factor of a.

Front

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

Back

The graph is reflected over the x-axis.

Front

How do you find the x-intercept of the square root function?

Back

Set y = 0 and solve for x; the x-intercept is at (0, 0).