Transformations of Functions Answers

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21
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How is the graph of the parent quadratic function transformed to produce the graph of ?

Question illustration
A
The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated up 3 units.
B
The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
C
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up 3 units.
D
The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
22
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Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = 0.6 Superscript x Baseline minus 2
Option A
B
y = 0.6 x squared minus 1
Option B
C
y = negative 0.6 x cubed minus 1
Option C
D
y = log (x) minus 2
Option D
23

How is the graph of the parent quadratic function transformed to produce the graph of ?

Question illustration
A
The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated up 3 units.
B
The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
C
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up 3 units.
D
The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
24

How is the graph of the parent function transformed to produce the graph of ?

Question illustration
A
It is translated 1 unit right and compressed vertically by a factor of 3.
B
It is translated 1 unit left and compressed vertically by a factor of 3.
C
It is translated 1 unit right and stretched vertically by a factor of 3.
D
It is translated 1 unit left and stretched vertically by a factor of 3.

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