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jolli1 [7]
4 years ago
15

Which transformations are needed to change the parent some function to the sine function below?

Mathematics
2 answers:
Marrrta [24]4 years ago
5 0
Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
Umnica [9.8K]4 years ago
5 0
The first choice is the answer:
Solution:the function y = sin x, which would have range from -1 to 1 and period of 2pi:
So the answer would be:Vertical compression of 1/2 compresses the range from -1/2 to 1/2Phase shift of pi/2 to the leftHorizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4piVertical shift of 1 unit up moves the range to 1/2 to 3/2

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Find the vertex of the parabol whose equatio is y =3x^2+6x+1
Gre4nikov [31]

Answer:

(-1,-2)

Step-by-step explanation:

y=ax^2+bx+c

Find -b/(2a) and you will have found the x-coordinate of the vertex of this parabola.

You can find the y-coordinate that corresponds to it by plugging in your into the original equation.

-b/(2a)=-6/(2*3)=-6/6=-1

Now replace x with -1

3(-1)^2+6(-1)+1

3-6+1

-3+1

-2

So the vertex is (-1,-2)

4 0
3 years ago
pls help me with this if you know it also to explain it thanks Solve the equation -21 + 70n = 77 for n.
gogolik [260]

Answer:

n = 1 2/5

Step-by-step explanation:

-21 + 70n = 77

Add 21 to each side

-21+21 + 70n = 77 +21

70n = 98

Divide each side by 70

70n/70 = 98/70

n =98/70

n = 70/70 +28/70

n = 1 + 2/5

n = 1 2/5

6 0
4 years ago
Write the exponential function.
sertanlavr [38]

Answer:

f(x) = 10*(b)^x

Step-by-step explanation:

exponential function : y=a*(b)^x

where a = y intercept and b = factor ( what you multiply by )

looking at the table the y intercept is at (0,10) so a = 10

so we now have y = 10 * (b)^x

to find the factor we simply plug in one of the ordered pairs.

note that the ordered pair chosen does not effect the outcome

i chose (2,250)

we have y = 10 * (b)^x

(x,y) = (2,250)

250 = 10 * (b)^2

divide both sides by 10

25 = b^2

take the square root of both sides

5 = b

the final equation would be f(x) = 10 * (b)^x

5 0
3 years ago
what types of problems can be solved using the greatest common factors? What types of problems can be solved using the least com
gayaneshka [121]
What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. 
<span>*** Use the words 'same' and 'different' to complete the following sentences.*** </span>

<span>Problems in which two different amounts must be split into (the same) number of groups can be solved using the GCF. Problems with events that occur on (different) schedules can be solved using the LCM.</span>
7 0
4 years ago
Read 2 more answers
390 X 1<br> 390 X 0.1<br> 390 X 0.01
marshall27 [118]
390
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4 years ago
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