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:
n ≤ -7
Step-by-step explanation:
Sum of 15 and n is less than or equal to 8.
15 + n ≤ 8
Collect like terms
n ≤ 8 – 15
n ≤ -7
Answer: Dog as I used to have one
5^7 = 5 × 5 × 5 × 5 × 5 × 5 × 5 = 78,125
5^-9 = 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 = 0.000000512
5^-5 = 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 = 0.00032
78,125 × 0.000000512 × 0.00032 = 0.0000128
Answer: 0.0000128 or 1.28 x 10^-5
Answer: There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
(FULL CREDIT TO maksimylian, I DID NOT WRITE THIS ANSWER)