1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lbvjy [14]
3 years ago
9

13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer:

y=4sin(\frac{\pi}{2} x+\pi)-2

Step-by-step explanation:

The equation of a periodic  function is in the form:

y = Asin(Bx + C) + D

Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.

Given that:

amplitude: 4, period 4 phase shift = vertical shift = -2

Hence:

A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.

Phase shift = -C / B

C = -phase shift * B = - * -2 * π / 2 = π.

Therefore substituting gives:

y=4sin(\frac{\pi}{2} x+\pi)-2

You might be interested in
The graph shows vectors w and z.
SSSSS [86.1K]
As the graph shows,z(3,4),w(-4,1)
so,w-z(-4-3,1-4)⇒(-7,-3)
z-w(3-(-4),4-1)⇒(3+4,3)⇒(7,3).
5 0
4 years ago
Charles owns a catering business. The amount his 10 most recent clients spent is shown in the histogram below. Why is the graph
Dmitry [639]
<span>The scales are different on the x-axis and the y-axis.
</span>Therefore, the correct answer choice is:
A. The x-axis scale shows the data is more clustered than it actually is.

3 0
3 years ago
Read 2 more answers
La un concurs, se acordă 10 puncte pentru o problema rezolvată corect si se scad 2 puncte
mylen [45]

Answer:

2 wrongly solutions and 18 right solutions

Step-by-step explanation:

The computation is shown below:

= 20 (problems) × 10 (points)

= 200 points

And it received 176 points

So the difference is of

= 200 - 176

= 24

In the case of wrong solution, the points that are lost is

=  10 + 2

= 12

Now the solutions done wrongly is

= 24 ÷ 12

= 2

And, the solutions does rightly is

= 20 - 2

= 18

6 0
3 years ago
The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 4
Marrrta [24]

Answer: $235.4

Step-by-step explanation:

Given

Price list on slacks is $22

Price list on jumpers is $37

Store ordered 30 pairs of slacks and 40 Jumpers

Total price becomes

\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140

for a discount of 11%

Trade discount is 2140\times 11\%

\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4

8 0
3 years ago
Complete this sentence after a congruence transformation the area of a triangle would be
NARA [144]

Answer:

  "unchanged"

Step-by-step explanation:

Congruence transformations (translation, rotation, reflection) do not change lengths, angles, area (of 2D figures), or volume (of 3D figures). The area would remain unchanged.

4 0
3 years ago
Other questions:
  • Point O is the centre of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent)
    10·1 answer
  • 34. * MULTIPLE CHOICE You want to buy a jacket at a clothing store, and
    5·2 answers
  • Can someone pls help me? I have 4 hours to do this!
    9·1 answer
  • Find the measure of &lt; FEG
    13·1 answer
  • Which equation represents a line that passes through the two points in the table?
    8·2 answers
  • If m∠12 = 123° and m∠6 = 76°, find each measure.
    7·2 answers
  • PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
    6·2 answers
  • A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back,
    15·1 answer
  • A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet pe
    5·1 answer
  • Can someone confirm why it's not? im *pretty* sure it's d?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!