The parent function of g(x) = |x - 7| +6 is f(x) = |x|
How to determine the parent function?
The function is given as:
g(x) = |x - 7| +6
The above function is an absolute function, and the parent function is f(x) = |x|
Hence, the parent function of g(x) = |x - 7| +6 is f(x) = |x|
The reflection
When f(x) is reflected across the x-axis, we have:
f'(x) = -|x|
When f(x) is reflected across the y-axis, we have:
f'(x) = |x|
Stretching and Compression
When f(x) is stretched horizontally by a factor k
g'(x) = |kx|
When f(x) is stretched vertically by a factor k
g'(x) = k|x|
Horizontal Shift
When f(x) is shifted horizontally by k units
f'(x) = |x ± k|
Vertical Shift
When f(x) is shifted vertical by k units
f'(x) = |x| ± k
See attachment for the graph of g(x)
Read more about function transformation at:
https://brainly.com/question/
#SPJ1
