Which statement accurately describes how adding a number, n, to the function f(x)=sin(x) affects its graph?A. There is a vertical shift of n units.
B.The x-intercepts will shift n units.
C. There is a change in amplitude of n units.
D. The range will change by a factor of 2n units.
Answers
The correct answer is:
A) There is a vertical shift of n units.
Explanation:
When a parent function is transformed, each type of transformation results ina different change in the graph.
The parent function in this question is f(x) = sin(x).
Adding n units to the end of this function would result in f(x) = sin(x) + n.
When a function is transformed by adding a constant to the end of a function results in a vertical shift by that number of units. In this case, it would be a vertical shift n units.
Answer:
A
Step-by-step explanation:
A on edge
Related Questions
Sam and Charley have a rectangular swimming pool that is 8 feet wide and 14 feet long. They are going to build a tile border around the pool of uniform width. They have 75 square feet of tile. How wide is the border?
Distance between (3,-4) and (-2,5)
How many more ways can 10 juniors running for the positions of president, vice president, secretary, treasurer be selected when compared to 12 sophomores running for 5 identical positions of class representative's?
Mrs. Thomas bought 2/4 yard of one fabric and 3/4 yard of a different fabric. How many total yards of fabric did she buy?
2/3x-5=3/4
Answers
Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
Answers
To find the total number of possible outcomes for 15 matches, you can calculate 2 raised to the power of 15 (since there are 2 options for each of the 15 matches):
2^15 = 32,768
So, there are 32,768 possible outcomes for the 15 football matches.
Final answer:
There are 32,768 possible outcomes of 15 football matches.
Explanation:
The number of possibleoutcomes in 15 football matches can be calculated by multiplying the number of outcomes for each match.
Assuming there are only two possible outcomes for each match (win or lose), the number of possible outcomes for one match would be 2. Since there are 15 matches, we can use the formula 2^15 to calculate the total number of possible outcomes.
Using this formula, there are 32,768 possible outcomes of 15 football matches.
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b) x (2x^2 + 4x + 1)
c) 2x (x^2 + 2x - 1)
d) x (2x^2 + 4x -1)
Answers
So, Taking the GCF from 2x³ + 4x² - x,
x is divisible by all of them so our new equation will be,
x ( 2x² + 4x - 1)
Correct option is D.
Hope this helped you.. :)
what is the earliest time when the pool will be empt ??
A)10 A.M.
B)11 A.M.
C) 4 P.M.
D) 5 P.M.
Answers
150cm*(2 hours)/(30cm) = 150*(1/15) = 150/15 = 10.
6 a.m. + 10 hours = 4 p.m.
So the answer is C.) 4 p.m.
did Ria make?
Answers
subtract 4 from both sides
1+3r=4r
subtract 3r from both sides
1=r
Final answer:
To solve the equation 5 + 3r = 4 + 4r, we need to isolate the 'r' term on one side of the equation. Ria made a mistake by stating that the equation has infinitely many solutions, but the correct solution is r = 1.
Explanation:
The equation given is 5 + 3r = 4 + 4r. To solve this equation, we need to first simplify both sides by combining like terms. On the left side, 5 does not have a 'r' term, so we can leave it as it is. On the right side, 4 has a 'r' term, so we can write it as 4r. Now we have 5 + 3r = 4r + 4. To solve for 'r', we need to isolate the 'r' term on one side of the equation. We can do this by subtracting 3r from both sides of the equation. This gives us 5 = 4r + 4 - 3r. Simplifying further, we get 5 = r + 4. Now, to isolate 'r', we can subtract 4 from both sides of the equation. This gives us 1 = r. Therefore, the solution to the equation is r = 1.
Learn more about Equation solving here:
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Answers
x(x) - x(6) = 4(x) + 4(6)
x² - 6x = 4x + 24
- 4x - 4x
x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
2(1)
x = 10 +/- √(100 + 96)
2
x = 10 +/- √(196)
2
x = 10 +/- 14
2
x = 5 + 7
x = 5 + 7 U x = 5 - 7
x = 12 x = -2
The values of x in the equation is either equal to 12 or -2.