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:
1/8
Step-by-step explanation:
Answer:
Nate made a mistake. He should have got 24 as Least common factor.
Step-by-step explanation:
Given number are 8 and 12.
To find the GCF or LCF we have to list multiples.
For LCF
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the smallest number that is on all of the lists.
- This number is the LCM.
For GCF
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the Biggest number that is on all of the lists.
- This number is the GCF
The least common multiple of 8 and 12 is 24.
The Greatest common multiply of 8 and 12 is 4.
Hence, Nate is wrong. Nate should have found 24.
[RevyBreeze]
Answer:
They are both right triangles
Step-by-step explanation:
The triangles are both the same shape but one is bigger than the other.
