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:
2 more muffins
Step-by-step explanation:
<em>Since, </em>
<u><em>Given that:</em></u>
<em>Laila made 12 Muffins</em>
<em>Shannon made 10 Muffins</em>
<u><em>Question to Answer:</em></u><em>
How many more did Laila make?</em>
<u><em>Solve:</em></u>
<em>Since it asking how many more laila made that means we have to subtract to find how many more laila has.</em>
<em>As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:</em>
<em>Laila Muffins - Shannon Muffins</em>
<em>Which also means:</em>
<em>12 - 10</em>
<em>Which,</em>
<em>12 - 10 = 2</em>
<em>Hence, Laila makes 2 more Muffins than Shannon</em>
<em />
<u><em>Kavinsky</em></u>
Answer:
Step-by-step explanation:
40 is considered an outlier since it it much further out on the data scale
Hope this helps!
70/81 is 7/81+7/9 as a proper fraction