<span>The answer is 97. The first expression is 1+4=5. In the next expression, both numbers are increased by 1 while their sum is increased by 7: (1+1)+(4+1) = (5+7). 2+5=12. In the next expression, both numbers are increased by 1 again, but the sum is increased by the next odd number (which is 9): (2+1)+(5+1)=(12+9). 3+6=21. So, the series will look like this: 1+4=5. 2+5=12. 3+6=21.4+7=33. 5+8=46. 6+9=61. 7+10=78- 8+11=97.</span>
The given function shows imply that the graph g(x) is shifted two units right and three units up.
Option B is correct.
<h3>What is the transformation of a function?</h3>
The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.
From the given information:
Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.
Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.
Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0. We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.
Combining the two transformations, we have:
Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.
Learn more about the transformation of functions here:
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Answer:
No
Step-by-step explanation:
7460400-7450400=10 000, that is ten thousand
After 2 hours : 9 inches left
