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rosijanka [135]
2 years ago
8

PLEASE HELP ME AS SOON AS POSSIBLE

Mathematics
1 answer:
ZanzabumX [31]2 years ago
3 0

The parent function of g(x) = |x - 7| +6 is f(x) = |x|

<h3>How to determine the parent function?</h3>

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|

<h3>The reflection</h3>

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|

<h3>Stretching and Compression</h3>

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|

<h3>Horizontal Shift</h3>

When f(x) is shifted horizontally by k units

f'(x) = |x ± k|

<h3>Vertical Shift</h3>

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:

brainly.com/question/

#SPJ1

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