Here is a sketch of the curve y = sin(x + a)° + b
o
90
180
270
360 x
-1
Given that 0 find the value of a and the value of b.
(2 marks)
.

Here Is A Sketch Of The Curve Y = Sin(x + A) + Bo90180270360 X-1Given That 0 Find The Value Of A And

Answers

Answer 1

Answer:

o

90

180

270

360 x

-1

Given that 0 find the value of a and the value of b.

(2 marks)

.

Answer 2

The values of a and b are π/2 and -1, respectively

How to determine the values of a and b?

The parent function of a sine function is:

y = sin(x)

When the function is shifted left by π/2 units, it becomes

y = sin(x + π/2)

When the function is shifted down by 1 unit, it becomes

y = sin(x + π/2) - 1

This means that the graph of y = sin(x + π/2) - 1 is the sine graph shifted left and down by π/2 and 1 unit respectively.

By comparing y = sin(x + π/2)° - 1 and y = sin(x + a)° + b, we have:

a = π/2 and b = -1

Hence, the values of a and b are π/2 and -1, respectively

Read more about function transformation at:

https://brainly.com/question/17586310


Related Questions

Which expression is equivalent to –(3 + 4x)?

Answers

Answer:

-3-4x

Step-by-step explanation:

Using the elimination method, what is the solution to the system of equations? 6x + 6y = 12 6x - 5y = 12

Answers

Answer: x = 2, y = 0

Step-by-step explanation:

11y = 0

y = 0

6x + 6(0) = 12

6x = 12

x = 2

Simplify:
4z+3/15+8q+2/15+6z-4q​

Answers

The answer would be 10z+1/3+4q

Leon created a scale drawing of the school library in her art class. In the drawing the length of library is 13 inches. The length of actual library is 78 feet. Which scale Leon used to create the scale drawing of school library?

Answers

Answer:

1 inch is 6 feet

Step-by-step explanation:

Answer:

1 inch represents 6 feet

∪ω∪

Step-by-step explanation:

1 inch represents 6 feet

(4x+2)(x-2) can someone help me with this question?

Answers

Answer:

Use distributive property and multiply

Step-by-step explanation:

then you will get your polynomial

Answer:

if you needed it simplify its 4x^2-6x-4

Can someone please help me i need the answer now +brainlest)

Answers

Answer:

your answer will be option A

Step-by-step explanation:

have a nice day!!

Answer:

A

Step-by-step explanation:

select all 4 of the correct answers, and I'll give you brainliest

Answers

Answer:1,2,3,5

Step-by-step explanation:

Help My Sister What triangle is shown?

Answers

Answer: Right Triangle

seriously though can somebody help me?

Answers

Answer:

2

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

Answer:

3x - y = -3

Step-by-step explanation:

divide everything by 4, the greatest common factor. That's all you need to do.

Answer: y=3x+3

Step-by-step explanation:

12x -4y= -12

subtract 12x from both sides

-4y= -12x-12

Divide everything by -4 to make y positive and alone

y=3x+3

Calculate the muscular work completed by four men. Four men carry 20 boxes each up a ramp as shown. Each box weighs 5 pounds. Remember that muscular work is calculated by multiplying the weight by the vertical distance. In the calculation, disregard the weight of the men and consider only the muscular work done carrying the boxes.
A. 600 ft-lbs
B. 1200 ft-lbs
C. 2400 ft-lbs
D. 3600 ft-lbs

Answers

Answer:

2400 foot pounds

Step-by-step explanation:

The amount of work done by the four men is  1200 ft-lbs. so option B is correct.

How to calculate work done?

The muscular work done by each man is equal to the weight of the boxes carried multiplied by the vertical distance moved.

The weight of each box is 5 pounds, and each man carries 20 boxes, so the total weight carried by each man is:

20 boxes x 5 pounds/box = 100 pounds

The vertical distance moved is the height of the ramp, which is 30 feet.

Therefore, the muscular work done by each man is:

Muscular work = weight x vertical distance

Muscular work = 100 pounds * 30 feet

Muscular work = 3000 ft-lbs

Since there are four men carrying boxes, the total muscular work done is:

Total muscular work = 4 * 3000 ft-lbs = 12000 ft-lbs

Therefore, the answer is B. 1200 ft-lbs.

To know more about work done check:

https://brainly.com/question/13662169

#SPJ3

If y = 3 ab + 2 b 3, what is y when a = 1 and b = 2

Answers

Answer:

18

Step-by-step explanation:

3 x( 1x2) = 6 plus...

2 x 2 x 3 =12

so 6 plus 12 is 18

Answer:

y =18

Step-by-step explanation:

y = 3 × 1 ×2 + 2 ×2× 3

y = 6 + 12

y = 18

Luis counts the total number of ducks swimming on a pond each day. On Monday he counts 1 duck. On Tuesday he counts 2 ducks. On Wednesday he counts 4 ducks. On Thursday he counts 8 ducks. If the pattern continues how many ducks will Luis count on Sunday ? And what is the pattern?

Answers

Answer:

64

Step-by-step explanation:

the pattern is multiplying by 2 every day. if thursday there is 8 then friday there is (8X2) 16, saturday there is (16X2) 32, and sunday there is (32X2) 64.

Write the mixed number as a percent.
[tex]1 \frac{1}{4} [/tex]

Answers

125% I am pretty sure

Which multiplication equation that represents the question: how may 3/8s fits into 5/4

Answers

Answer:

B

Step-by-step explanation:

You would usually divide to see,

but also multiplying the number you can fit in 5/8 and the number you multiply it by.

If the frightened dot ran from -34 to -66 for 5 minutes then, the distance is __ units and the average speed is __ units per minute.

Answers

Answer:

Step-by-step explanation:

distance traveled=-34-(-66)=-34+66=32 units

average speed=32/5=6.4 units /min

solve for x x + 18.8 = 27.9
A x=9.1
B x=46.7
C x=524.52
D x=45

Answers

Answer:

9.1 (A)

Step-by-step explanation:

27.9 - 18.8 = 9.1

hope this helps u

what is the slope, please​ 18,5 and -18, 5

Answers

Answer:

The slope is a zero slope. This means that the line is a straight, horizontal line.

Step-by-step explanation:

Use the slope formula.

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

5-5/-18-18 = 0/-36

hey guys it would mean the world to me if u helped me with this (geometry)

Answers

Answer:

Statements Reasons

1.

AB

bisects DAC 1. Given

A 2. 1  2 2. Defn  Bisector

3. C and D are right angles 3. Given

A 4. C  D 4. All Right ’s 

S 5.

AB  AB

5. Reflexive

6. ∆DAB  ∆CAB 6. AAS

7.

BC  BD

7. CPCTC

Simplify the following expressions. Assume all variables are positive.
Exponents in simplified form should all be positive.
(81)
1.
493 · 494
2.
3
(81)
3.(16x24)

Answers

1) 49^43/12
2)1/9
3) 2x^6

Order numbers from least to graders using 1,2,3,4

Answers

I could be wrong
4 = 8.6
3= 3 pi
2=
1 3with 200
Sorry if it’s wrong and hope that helped

The diameter of a circle has endpoints (2,-6) and (-4,-16).
Enter an equation for the circle in standard form.

Answers

Answer:

[tex](x + 1)^{2} + (y + 11)^{2} = 34[/tex]

Step-by-step explanation:

First find the midpoint of the segment  from (2, -6) to (-4, -16)

((2 - 4)/2, (-6 - 16)/2)

(-2/2, -22/2)

(-1, -11) is the midpoint and is the center of the circle

Now find the distance between the 2 given points and divide by 2 to get the radius of the circle

d = [tex]\sqrt{(2 + 4)^{2} + (-6 + 16)^{2} }[/tex]

  = [tex]\sqrt{6^{2} + 10^{2} }[/tex]

  = [tex]\sqrt{36 + 100}[/tex]

  = [tex]\sqrt{136}[/tex]

r = [tex]\sqrt{136}[/tex]/2

[tex]r^{2}[/tex] = 136/4 = 34

Equation of circle with center at (-1, -11) and radius = [tex]\sqrt{34}[/tex] is

[tex](x + 1)^{2} + (y + 11)^{2} = 34[/tex]

A​ salesperson's commission rate is ​5%. What is the commission from the sale of $36,000 worth of​ furnaces? Use pencil and paper. Suppose sales would double. What would be true about the​ commission? Explain without using any calculations.

Answers

Answer:

a. $1,800

b. Commission would double as well.

Step-by-step explanation:

Commission paid on $36,000 worth of furnaces with a rate of 5% is:

= Amount of sales * commission rate

= 36,000 * 5%

= $1,800

If the sales were to double, the commission would be based on double the amount so it would double as well.

= 36,000 * 2

= $72,000

Commission = 72,000 * 5%

= $3,600

Commission therefore doubled.

Answer:

1,800

Step-by-step explanation: I dont know but this is the right awnser

Find x and y. I have no idea how to solve this.

Answers

Answer:

Step-by-step explanation:

sikeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

simplify:
2⁴ x 10³
(-5)³ x (-2)

Answers

Answer:

hope this helps

Step-by-step explanation:

Which fraction is equivalent to 4 over -9 ? (5 points)

A) 4 over 9

B) -4 over -9

C) 9 over 4

D) -4 over 9

Answers

Answer:

c is the best answer for this

triangles and rectangle

Answers

Step-by-step explanation:

Area of triangle (A1)

= 1/2 * b *h

= 1/2 * 1 * 1

= 1/2 ft

Area of rectangle (A2)

= L * b

= 3 *1

= 3 ft

Total area

= A1 + A2

= 1/2 + 3

= (1 + 6 ) / 2

= 7/2 ft²

= 3.5 ft²

Hope it will help :)

Please help! It’s late! Big grade! Help asap! Extra points!!

Answers

Answer:

The answer is B

Step-by-step explanation:

The ratio of the measures of the sides of a triangle is 8: 15: 17, and its perimeter is 480 in.. Find the measure of the shortest side of the triangle.

Answers

Answer:

96

Step-by-step explanation:

The ratio of the measure of sides of a triangle are 8:15:17

The perimeter is 480

8x + 15x + 17x= 480

40x= 480

x = 480/40

x = 12

Therefore the measure of the shortest side of the triangle can be calculated as follows

8x

8×12

= 96


i need help asap! math problem

Answers

Answer:

4

Step-by-step explanation:

cos(-π) = -1 [in radians]

3-(-1) = 4

There are many ways to answer this but, I'll try to explain it.

You can see that you are computing a limit when some n approaches negative PI. You get to substitute negative PI instead of n and compute cos(-pi) which is -1.

Then compute f(x) - (-1) = 3 - (-1) = 4 which is a result.

The way you can imagine cos(-pi) or cos(-90deg) is by dragging point in a unit circle beneath x-axis and to the bottom y-axis (-90 angle), the y coordinate tells you the cosine value at (-90) and because you have dragged the point on the unit down to y-axis the value is -1.

Hope this helps.

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