What is the significance of the value of A in the function F(x) = -1/2 |x + 1| - 2?

Graphing Function Transformations: Part 1 Insights

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Mathematics
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8th - 12th Grade
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Hard

Ethan Morris
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
It indicates a horizontal compression.
It indicates a reflection and vertical compression.
It indicates a vertical stretch.
It indicates a horizontal shift.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If C = +1 in the function F(x) = -1/2 |x + 1| - 2, what transformation does it represent?
Shift down one unit
Shift up one unit
Shift left one unit
Shift right one unit
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you graph the reflection and vertical compression of the function Y = -1/2 |x|?
Multiply the Y coordinate by -1/2 and leave the X coordinate the same.
Add 1 to the X coordinate and subtract 2 from the Y coordinate.
Subtract 1 from the X coordinate and add 2 to the Y coordinate.
Multiply the X coordinate by -1/2 and leave the Y coordinate the same.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the new coordinates of the point (4, -2) after shifting it left one unit and down two units?
(3, -4)
(5, -4)
(3, -1)
(2, -3)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function F(x) = √(2(x - 2)) + 1, what does the value B = 2 represent?
Vertical stretch
Horizontal stretch
Horizontal compression
Vertical compression
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the parent function for the second example function?
Y = |x|
Y = 1/x
Y = x^2
Y = √x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you perform a horizontal compression on the parent function Y = √x?
Multiply the Y coordinate by B
Subtract B from the Y coordinate
Divide the X coordinate by B
Add B to the X coordinate
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