Find Amplitude, Period, and Phase Shift y=-2tan(x-pi/4)+1

Find Amplitude, Period, and Phase Shift y=-2tan(x-pi/4)+1
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
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.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
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:
Divide by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
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Name

Name seven hundred two million nine hundred ninety-five thousand two hundred ninety-seven

Interesting facts

• 702995297 has 4 divisors, whose sum is 703050180
• The reverse of 702995297 is 792599207
• Previous prime number is 20369

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 50
• Digital Root 5

Name

Name three hundred fifty-eight million nine hundred sixty-four thousand two hundred thirty-one

Interesting facts

• 358964231 has 8 divisors, whose sum is 380421360
• The reverse of 358964231 is 132469853
• Previous prime number is 1187

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 41
• Digital Root 5

Name

Name one billion three hundred sixty-three million nine hundred forty thousand nine hundred ninety-three

Interesting facts

• 1363940993 has 4 divisors, whose sum is 1364036820
• The reverse of 1363940993 is 3990493631
• Previous prime number is 17389

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 47
• Digital Root 2