Negative exponents create the reciprocal of the original number:
2^2=4
2^-2=1/4
4^4=64
4^-4=1/64
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:
R= diameter ÷ 2
Step-by-step explanation:
the radius is half the diameter.
The percentage of votes claimed by Adam is 53.62 %
<em><u>Solution:</u></em>
Given that, 5000 people went to vote
Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes
To find: Percentage claimed by Adam
From given,
Total number of votes = 5000
Votes claimed by Adam = 2681
<em><u>The formula used is:</u></em>
<em><u>Substituting the values we get,</u></em>
Thus percentage of votes claimed by Adam is 53.62 %
