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

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

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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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.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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