How to graph an absolute value inequality with multiple transformations

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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
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