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:
400 meters
Step-by-step explanation:
50 + 200 + 150 = 400
Answer:
f(x) = -1.18056x² +9.55556x -12.4604
Step-by-step explanation:
As required by the problem statement, technology was used to find the polynomial function that passes through the given points. The coefficients shown above are rounded to 6 significant figures. The exact coefficients appear to be ...
f(x) = (-1 13/72)x² +(9 5/9)x -(12 221/480)
Answer:

Step-by-step explanation:
<u>Find the first implicit derivative using implicit differentiation</u>
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<u>Use the substitution of dy/dx to find the second derivative (d²y/dx²)</u>
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