We will see that we have a shift of 9 units to the left and 6 units upwards
How to identify the translations?
For any given function H(x), we define a vertical shift of N units as:
g(x) = H(x) + N.
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
While a horizontal shift is written as:
g(x) = H(x + N).
- If N > 0, the shift is to the left.
- if N < 0, the shift is to the right.
Here we know that:
f(x) = 3*|x + 9| + 6
If the original function was:
H(x) = 3*|x|
Then we can write:
f(x) = H(x + 9) + 6
So we have a shift of 9 units to the left and 6 units upwards.
If you want to learn more about translations:
https://brainly.com/question/24850937
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