# Find Amplitude, Period, and Phase Shift f(x)=-4sin(2x+pi)-5

Find Amplitude, Period, and Phase Shift f(x)=-4sin(2x+pi)-5
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Find the amplitude .
Amplitude:
Find the period using the formula .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Cancel the common factor of .
Cancel the common factor.
Period:
Divide by .
Period:
Period:
Period:
Period:
Find the phase shift using the formula .
The phase shift of the function can be calculated from .
Phase Shift:
Replace the values of and in the equation for phase shift.
Phase Shift:
Move the negative in front of the fraction.
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift:
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### Name

Name one billion sixteen million four hundred thirty-five thousand four hundred eighty-eight

### Interesting facts

• 1016435488 has 128 divisors, whose sum is 7816279680
• The reverse of 1016435488 is 8845346101
• Previous prime number is 79

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4

### Name

Name eight hundred thirty-six million five hundred seventy-one thousand two hundred twenty-one

### Interesting facts

• 836571221 has 4 divisors, whose sum is 859181292
• The reverse of 836571221 is 122175638
• Previous prime number is 37

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion one hundred eighty-two million two hundred eighteen thousand one hundred eighty-two

### Interesting facts

• 1182218182 has 8 divisors, whose sum is 1877640696
• The reverse of 1182218182 is 2818122811
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 34
• Digital Root 7