2023 - 2024 - Graphing Square Root Functions

Front

What is the parent function of a square root function?

Back

f(x) = √x

Front

What transformation occurs when a square root function is shifted left by 2 units?

Back

The function moves horizontally to the left by 2 units.

Front

What is the range of the function f(x) = √(x - 4) - 2?

Back

[ -2, ∞ )

Front

How does the graph of f(x) = -√(x) differ from the parent function?

Back

It reflects the graph across the x-axis.

Front

What does the notation ( -∞, -2 ] represent in terms of range?

Back

It indicates all values less than or equal to -2.

Front

What is the effect of the transformation 'y = √(x + 5) + 1' on the graph of the parent function?

Back

It shifts the graph left 5 units and up 1 unit.

Front

How do you identify the vertex of a square root function in the form f(x) = a√(x - h) + k?

Back

The vertex is at the point (h, k).

Front

What is the domain of the function f(x) = √(x - 4)?

Back

[4, ∞) because the expression under the square root must be non-negative.

Front

What transformation does the equation y = √(x - 5) - 1 represent?

Back

It shifts the graph right 5 units and down 1 unit.

Front

What does the term 'vertical shift' mean in the context of graph transformations?

Back

It refers to moving the graph up or down along the y-axis.