Regents Exam: Algebra I August 2016 (Problem 25 of 37)

The video tutorial explains how to graph the function Y = -√(X+3) by setting up a table of values and determining the domain. It covers evaluating the function at specific X values, plotting the points, and connecting them with a curve. The tutorial also discusses using transformations from the parent function Y = √X to graph the function, including translations and reflections.

What is the domain of the function Y = -√(X + 3)?

• X is less than or equal to 0

• X is greater than or equal to 0

• X is less than or equal to -3

• X is greater than or equal to -3

When plotting the function, why is it important to include an arrow on the right side?

• To indicate the function stops there

• To show the function continues in that direction

• To mark the end of the graph

• To highlight the maximum point

What does a closed circle at the endpoint of a graph indicate?

• The graph should not extend beyond that point

• The function has a maximum value there

• The endpoint is included in the domain

• The function is undefined at that point

How does the transformation X + 3 affect the graph of the parent function Y = √X?

• It shifts the graph 3 units down

• It shifts the graph 3 units up

• It shifts the graph 3 units to the left

• It shifts the graph 3 units to the right

What effect does multiplying the function by -1 have on the graph?

• It reflects the graph across the X-axis

• It reflects the graph across the Y-axis

• It shifts the graph downwards

• It shifts the graph upwards