# Find Amplitude, Period, and Phase Shift y=4-3sin(2/5(x+1))

Find Amplitude, Period, and Phase Shift y=4-3sin(2/5(x+1))
Rewrite the expression as .
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 .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move to the left of .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move to the left of .
The period of addition/subtraction of trig functions is the maximum of the individual periods.
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:
Cancel the common factor of .
Cancel the common factor.
Phase Shift:
Divide by .
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift:
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### Name

Name seven hundred fifty-one million four hundred ninety-five thousand four hundred twenty-eight

### Interesting facts

• 751495428 has 64 divisors, whose sum is 2585802240
• The reverse of 751495428 is 824594157
• Previous prime number is 31

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 45
• Digital Root 9

### Name

Name forty-nine million nine hundred forty-eight thousand six hundred seventeen

### Interesting facts

• 49948617 has 8 divisors, whose sum is 69493824
• The reverse of 49948617 is 71684994
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 8
• Sum of Digits 48
• Digital Root 3

### Name

Name five hundred twenty-five million three hundred ten thousand seven hundred twenty

### Interesting facts

• 525310720 has 2048 divisors, whose sum is 17624945520
• The reverse of 525310720 is 027013525
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 25
• Digital Root 7