Answers
Answer:
D
Step-by-step explanation:
I plugged each equation into a graphing calculator and compared them to see which one matched the one in the picture.
The value of the trigonometric equation after transformation is given by the value y = 3 [ sin ( x + 3 ) ] - 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the parent function be represented as f ( x )
Now , the value of the trigonometric function f ( x ) is
f ( x ) = 3sin ( x )
when the function is translated 3 units to the left and 2 units down , we get
y = 3 [ sin ( x + 3 ) ] - 2
Therefore , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2 and the graph is plotted
Hence , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2
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Related Questions
Complete the equations below. please please
Answers
Answer:
364 hundredths÷7
Step-by-step explanation:
3.64=364/100= 365 hundredths
Plz help fast will mark brainliest!!!
Answers
Answer:
V≈523.6
Step-by-step explanation:
Someone help and plz make sure it’s right plz! :)
Answers
Answer:
obtuse
Step-by-step explanation:
Answer:
Acute angle. You're welcome
Select the correct answer.
Consider the first four terms of the sequence below.
-3, -12, -48, -192, . . .
What is the 8th term of this sequence?
A.
-196,608
B.
-49,152
C.
-12,288
D.
-768
Answers
Answer:
D
Step-by-step explanation:
The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
Consider the first four terms of the sequence are,
⇒ -3, -12, -48, -192, . . .
Here, Common ratio is,
⇒ - 12 / - 3
⇒ 4
Thus, The sequence are in Geometric sequence.
Hence, The value of 8th term of this sequence is,
⇒ a (8) = - 3 × (4)⁸⁻¹
⇒ a (8) = - 3 × 4⁷
⇒ a (8) = - 3 × 16,384
⇒ a (8) = - 49,152
Thus, The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
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A 400g pack of couscous contains 116g of carbohydrate.
A 250g bag of maize flour contains 195g of carbohydrate.
A 1kg bag of wheat flour contains 640g of carbohydrate.
Use percentages to work out the amount of carbohydrates in each.
Answers
Answer:
A: 70% B: 64%
Step-by-step explanation:
What shape is figure b?
Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone
Answers
The solution is, Figure a is a half sphere and figure b is a cylinder.
What is shape?In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.
here, we have,
from the given figure, we have,
the given shape has two parts,
the upper half is a half sphere.
Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.
and, the part b is a cylinder.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.
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Convert: :
23.7 cm =
mm
Answers
Answer:
237
Step-by-step explanation:
multiply the length value by 10
Answer:
237 mm
Step-by-step explanation:
Formula
multiply the length value by 10
Please help almost finisHHHH
Answers
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
Will yall help me please help me i will help ya´ll whenever ya´ll need points just ask something or i will make things where i will get ya´ll some points just will help me on this quiestion..?
Answers
Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-3}3 −3 3^{3}3 3
Answers
Answer:
27
Step-by-step explanation:
Given the expression
[tex]\left(3^{-6}\times 3^{3}\right)^{-1}\\[/tex]
According to law of indices, this can be written as;
[tex]\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27[/tex]
Hence the required answer is 27
A triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. Is it a right triangle?
Answers
Answer:
Yes
Step-by-step explanation:
Plug your values into the Pythagorean Theorem to check if they make sense
PLEASE HELP!!
Find the volume of the following
square pyramid.
Help Resources
8 cm
6 cm
6 cm
V = [?] cm3
Enter
Answers
Answer:
96
Step-by-step explanation:
The volume of the square pyramid is 96 cm³.
How to find the volume of a square pyramid?
You can locate the extent of a normal square pyramid with the use of the volume formula= base location² × height / 3. Take be aware that the bottom vicinity equals the square of the pyramid's base side period. However, the peak is the perpendicular distance between the pyramid's base and the pyramid's vertex.
By using the given formula, we get
V= a² h/3
=6² * 8 / 3 = 96
The answer is 96 cm³.
The volume of a pyramid is found using the formula V = (1/3) B*h, where 'B' is the base area and 'h' is the height of the pyramid.
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find the value of x
−9(10+x)=−243
Answers
Answer:
x = 17
I think this is the value for x
advance tickets for a school play went on sale. the price of each student ticket was $4 and everyone else paid $5. on the first day, no more than $80 in tickets were sold. describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to non student’s.
Answers
Answer:
0student 16non-student,
5student 12non-student,
10student 8non-student,
15student 4non-student,
20student 0non-student
Step-by-step explanation:
s student tickets, e non student
4s + 5e = 80
s e
0 16 4(0) + 5(16) = 80
5 12 4(5) + 5(12) = 80
10 8 4(10) + 5(8) = 80
15 4 4(15) + 5(4) = 80
20 0 4(20) + 5(0) = 80
decrease £85 by 20%
help plssss
Answers
Answer:
68
Step-by-step explanation:
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answers
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
0.25(4x - 4) = 2x + 1
Answers
Answer:
x=-2
Step-by-step explanation:
I need help with this
3 (x - 4)= 2x + 6
Answers
Answer:
x=18
Step-by-step explanation:
3(x-4)=2x+6
3x-12=2x+6
3x-2x=6+12
x=18
Answer:
[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]
Hope it helps!
slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!
Answers
Answer:
To form the equation, it would y = -2/5x
Step-by-step explanation:
Solve for the variable:
0.15a + 28.1 = 50
a = ?
Answers
Answer:
a = 146
Step-by-step explanation:
0 . 1 5 + 2 8 . 1 = 5 0
3 / 2 0 + 2 8 . 1 = 5 0
3 /2 0 = 2 1 . 9
a box contains 18 blue flashlights 3 red flashlights 7 silver flashlights ans 2 black flashlights. the flashlights are identical in size and shape. if one flashlight is chosen at random what is the probability that the flashlight will be either blue or black?
Answers
Answer:
The answer is 20/30 or in simplified form 2/3
Step-by-step explanation:
The way I do it is I take the probability of blue flashlights, 18/30, added to the probability of black flashlights, 2/30. Then, you simplify by dividing both numbers by 10.
Can someone plz help
Answers
Answer:
x=43
Step-by-step explanation:
Answer:
x = 34°
Step-by-step explanation:
(x + 7) + (63° + (2x + 8) = 180°
combine like terms:
3x + 78° = 180°
subtract 78 from each side of the equation:
3x = 102°
divide both sides by 3:
x = 34°
Adele has 19 stamps in her collection.
For her birthday, Don gave her 5 more,
and then her father offered to buy her
more stamps to triple the number in
her collection. Which expression shows
how many stamps Adele will have in
her collection after her birthday?
A 19-(5 X 3)
B 19 + (5 X 3)
C (19-5) X 3
D (19 + 5) X 3
Answers
Answer:
D
19+5 is the total in her collection
multiply by three to triple
(19+5)x3
Answer:
D(19+5)x3
Step-by-step explanation:
she has 19, then don gave her 5 more
19+5
her father also offered to buy her three times so
(19+5)x3
Which two consecutive integers does -√138 lie between?
A:11 and 12
B:12 and 13
C:-11 and -12
D:-12 and -13
Answers
Answer:
C:-11 and -12
[tex] - \sqrt{138} \\ = - 11.747 \\ - 11 < x < - 12[/tex]
If f(x)= 9x^2+2x-3, find f(-1).
Answers
Answer:
f(-1)= 4
Step-by-step explanation:
Just plug -1 into all Xs
and split it into 2 seperate problems for the time being
[9 times (-1)^2] + [2(-1)-3]
-1 squared is positive 1 times the 9 is just 9
Plus 2 times -1 is -2 minus 3 is -5
combine the two seperate problems you have
9-5 the subtract and
f(-1)= 4
finna tells her friend to follow the steps shown which choice best explains why each friend end up with their staring number
Answers
A city planner knows that the number of daily riders on the subway is expected to increase by 12% over the next year. If the current number of daily riders is represented by d,
which expression does NOT represent the expected number of daily riders next year?
A.d+0.12d
B. 1.12d
C. (1 + 0.12)d
D.0.12d
Answers
Answer:
Step-by-step explanation:
because it doesn’t start off or have 0.12 in the equation.
Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answers
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):
r = m + 5
r = 4m – 10
Which is the correct method to find Rose's and Milton's ages?
Answers
Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)
Answers
Answer:
Given GP:
tₙ = (1/3)ⁿ⁻¹We see that:
t₁ = 1, r = 1/3Sum of n terms:
Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]