Graph y equals four cos(two(x minus ninety)) minus two

Graph y=4cos(2(x-90))-2
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Calculate the amplitude .
Amplitude:
Calculate the period of .
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Evaluate the period of function using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
The common factor should be canceled of .
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Cancel the common factor.
First, divide by .
Find the phase shift using the formula .
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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:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
Select a few points to graph.
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Calculate the point at x=π .
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Replace the variable with in the expression.
Clarify the result.
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Clarify each term.
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Clarify each term.
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Use the distributive law.
The common factor should be canceled.
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Factor out of .
Cancel the common factor.
Reformulate the expression.
First, First, multiply by .
Subtract from .
Add and .
The exact value of is .
Multiply by .
Subtract from .
The result is .
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Simplify each term.
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Apply the distributive property.
Cancel the common factor of .
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Cancel the common factor.
Should be rewritten the expression.
Multiply by .
Subtract from .
Add and .
Use the reference angle by calculating the angle with equivalent triginometric values in the Initially quadrant. Rewrite the expression as a negative one since cosine is negative in the 2nd quadrant.
The exact value of is .
Multiply by .
Multiply by .
Subtract from .
The final answer is .
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Simplify each term.
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Apply the distributive property.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Subtract from .
Add and .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
Multiply by .
Subtract from .
The final answer is .
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Simplify each term.
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Apply the distributive property.
Multiply by .
Subtract from .
Add and .
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
Multiply by .
Subtract from .
The result is .
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Simplify each term.
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Apply the distributive property.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Subtract from .
Add and .
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
Multiply by .
Subtract from .
The final answer is .
List the points in a table.
Use the amplitude to plot the trig function, period, phase shift, vertical shift, and the points.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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