The matching is done below.
- Shift f(x) 4 units down → g(x) = 2x – 10.
- Compress the function by the factor of (1/4) toward the x-axis → g(x) = 8x – 24.
- Stretch the function by the factor of (1/4) toward the x-axis → g(x) = 8x – 6.
- Shift f(x) 4 units right → g(x) = 2x – 14.
The complete question is attached below.
What is a function?
Functions are found all across mathematics and are required for the creation of complex relationships.
The function of f(x) is given below.
f(x) = 2x – 6
Shift f(x) 4 units down, then the function will be
g(x) = 2x – 6 – 4
g(x) = 2x – 10
Compress the function by the factor of (1/4) toward the y-axis, then the function will be
g(x) = (2x – 6) / (1/4)
g(x) = 8x – 24
Stretch the function by the factor of (1/4) toward the x-axis, then the function will be
g(x) = 2x / (1/4) – 6
g(x) = 8x – 6
Shift f(x) 4 units right, then the function will be
g(x) = 2(x – 4) – 6
g(x) = 2x – 14
More about the function link is given below.
https://brainly.com/question/5245372
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