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:
Step-by-step explanation:
answer is 2 because cosec^2 theta-cot^ theta is 1and when u multiply 1 and 2 answer is 2
Answer:
6
Step-by-step explanation:
Answer:
45 tomatoes
Step-by-step explanation:
1 hour = 60 minutes
60 ÷ 12 = 5
you can get 9 tomatoes every 12 minutes, 5 times in one hour
9 × 5 = 45
Answer:
- 13x² - 19x + 23
- -16x +17
Step-by-step explanation:
1 . (4x² - 9x + 16) + (7 + 9x² - 10x)
4x² - 9x + 16 + 7 + 9x² - 10x
13x² - 19x + 23
2 . (-2x + 6) - (14x - 11)
-2x + 6 - 14x + 11
-16x +17
