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
USPshnik [31]
3 years ago
9

What is the amplitude, period, and phase shift of f(x) = −3 cos(4x + π) + 6?

Mathematics
2 answers:
valentinak56 [21]3 years ago
4 0
The period of cos is 2π
so the period of cos(4x + π) is 2π/4 = π/2
cos(4x + π) = -cos4x => <span>-3 cos(4x + π) + 6 = 3cos4x + 6 
phase shift may be [-</span>π/4,π/4]
amplitude  is [-3,3]

Crazy boy [7]3 years ago
4 0

Answer:

amplitude = 3

period = π/2

phase shift: x = -π/4

Step-by-step explanation:

Given:

f(x) = −3 cos(4x + π) + 6

which has the general form:

f(x) = A cos(Bx - C) + D

with:

A = -3

B = 4

C = -π

D = 6

The amplitude, period and phase shift is calculated as follows:

amplitude = |A| = |-3| = 3

period = 2*π/|B| = 2*π/|4| = π/2

phase shift: C/B = -π/4

You might be interested in
It took the race car 22 minutes to travel 114.4 kilometers. At what rate did the car travel? Use the formula r=d/t where r is th
Svet_ta [14]

Answer:

5.2 Km/Min

Step-by-step explanation:

Speed/Rate= Distance/Time

Speed/Rate = 114.4/22

Speed/Rate = 5.2 KM/min

4 0
3 years ago
Read 2 more answers
PLS I NEED HELP BRAINLIEST IS UP FOR GRABS
Gwar [14]

Answer:

(a) x > 4   (b) y < -2

Step-by-step explanation:

Domain is referring to the x-values while the range is referring to the y-values.

Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.

The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.

Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.

7 0
3 years ago
A bag contains 6 red balls and 3 blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.
geniusboy [140]
Assuming that the balls are not replaced; 

\frac{6}{9}* \frac{5}{8}* \frac{4}{7}* \frac{3}{6}= 5/42 

(the numbers are decreasing in the denominator as you are presumably taking out the red balls. In the denominator, there is one less ball each time since you took out a red one). 

Therefore, the probability of selected 4 red balls consecutively without replacement is 5/42. 

Hope I Helped :) 

4 0
3 years ago
20 point if you answer all questions
Alexus [3.1K]

Answer:

13/8 45/3/8  7 7/8

Step-by-step explanation:

5 0
3 years ago
A telephone company offers a monthly cellular phone plan for $ 39.99 It includes 300 anytime minutes plus $ 0.25 per minute for
Nataly [62]
A. 39.99 
b. 39.99 + 0.25(35) = 48.74
c. 39.99 + 0.25(1) = 40.24
3 0
3 years ago
Other questions:
  • a rectangular garden has a length that is 16 meters and width of 12 meters .the owner of the garden is adding a walkway around t
    13·1 answer
  • Solve the equality for w
    10·1 answer
  • PLEASE HELP
    15·1 answer
  • Factor and find god<br><br> p² - 14p
    5·1 answer
  • What is the slope of y= -x +7?
    15·2 answers
  • Which sentence below best explains the process of upwelling
    15·2 answers
  • PLEASE HELLPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·1 answer
  • A credit card has an annual percentage rate of 23 988% the balanced owed is $1450.00. Assuming no additional charges are made. W
    6·1 answer
  • hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best
    7·1 answer
  • PLEASE HELP! 50 POINTS
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!