Graphing Square Root Functions

What is the main difference between a quadratic function and a square root function?

• Square root functions are always decreasing.

• Quadratic functions are always increasing.

• Square root functions are always linear.

• Quadratic functions form a U-shape, while square root functions form a half U-shape.

What happens to the curve of a square root function if the parameter 'a' is between 0 and 1?

• The curve shifts to the right.

• The curve shifts to the left.

• The curve becomes wider.

• The curve becomes narrower.

How does the parameter 'h' affect the graph of a square root function?

• It shifts the graph left or right.

• It reflects the graph across the y-axis.

• It reflects the graph across the x-axis.

• It shifts the graph up or down.

What is the first step in graphing the parent function y = √x?

• Plot the origin.

• Follow the 1-3-5 pattern.

• Calculate ordered pairs.

• Identify the vertex.

In the 1-3-5 pattern for graphing y = √x, what does the '1' represent?

• The slope of the curve.

• The step size on the y-axis.

• The step size on the x-axis.

• The initial point.

If the vertex of a transformed square root function is at (0, 5), what is the value of k?

• 1

• 5

• 0

• -5

How does a negative 'a' value affect the graph of a square root function?

• It shifts the graph up.

• It shifts the graph down.

• It reflects the graph across the x-axis.

• It reflects the graph across the y-axis.

What is the domain of the function y = √(x - 2) + 3?

• x ≤ 2

• x ≤ 3

• x ≥ 3

• x ≥ 2

For the function y = -√x, what is the range?

• y ≤ -1

• y ≥ -1

• y ≤ 0

• y ≥ 0

What transformation occurs if there is a negative value under the square root?

• Horizontal shift.

• Vertical shift.

• Reflection across the y-axis.

• Reflection across the x-axis.