How to graph an absolute value inequality with multiple transformations

How to graph an absolute value inequality with multiple transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What determines if the graph line of an absolute value inequality is solid or dashed?

The y-intercept

The inequality sign

The color of the graph

The slope of the line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a negative coefficient affect the graph of an absolute value inequality?

It shifts the graph to the right

It makes the graph wider

It changes the y-intercept

It reflects the graph over the x-axis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new vertex of the graph if the equation is y ≥ -2|x - 3| - 2?

(2, -3)

(0, 0)

(-3, 2)

(3, -2)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it useful to create a table of values when graphing an absolute value inequality?

To plot points and understand symmetry

To find the y-intercept

To calculate the area under the curve

To determine the slope

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the line of symmetry for the graph of y ≥ -2|x - 3| - 2?

x = 0

x = 3

y = 3

y = -2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the shading area for an absolute value inequality graph?

By finding the slope

By testing a point not on the graph

By calculating the y-intercept

By using the vertex

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the point (0,0) satisfies the inequality, where should the shading be?

Only on the y-axis

Only on the x-axis

Outside the V-shape

Inside the V-shape