For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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Answer:
part A: expression 1: 6(8m+2)
expression 2: 6m+12+42m
Part B: 6(m+2+7m)= 6(8m+2)
combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)
6(8m+2)= 6(8m+2)
Part C: 6m+12+42m=6(m+2+7m)
m=0
6(0+2+7(0))=6(0)+12+42(0)
6(2)= 12
12=12
Answer: the answer would be To make sure they remain effective.
Step-by-step explanation:
It wouldn't be to make sure they are up to code because fire extinguishers do not use code, code is used in electronics. For the second option and the last option it would not be this because they could be trained in a practice instead of using the real thing.
Answer:
14 % pure juice comes from first brand
Step-by-step explanation:
Mixture:
17 gal 30% contains: 17x 30% = 5.10 gal pure juice
Second brand:
8 gal 48% contains: 8x40% = 3.84 gal pure juice
5.10 − 3.84 = 1.26 gal
1.26 gal is coming from 9 gal of first brand
The percentage of first brand is:
(1.26/9) x100 = 14 % pure juice.
