Graph f(x) equals two sin(x minus pi divide two) plus one

Graph f(x)=2sin(x-pi/2)+1
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 .
Tap for more steps...
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 .
First, divide by .
Find the phase shift using the formula .
Tap for more steps...
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.
Tap for more steps...
Calculate the point at .
Tap for more steps...
Replace the variable with in the expression.
Clarify the result.
Tap for more steps...
Clarify each term.
Tap for more steps...
Add numerators over the common denominator.
Subtract from .
First, divide by .
The exact value of is .
First, First, multiply by .
Sum and .
The result is .
Calculate the point at x=π .
Tap for more steps...
Replace the variable with in the expression.
Clarify the result.
Tap for more steps...
Simplify each term.
Tap for more steps...
To write as a fraction with a common denominator, multiply by .
Add and .
Combine the numerators over the common denominator.
Clarify the numerator.
Tap for more steps...
Put to the left of .
Subtract from .
The exact value of is .
Multiply by .
Add and .
The result is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Simplify each term.
Tap for more steps...
Combine the numerators over the common denominator.
Subtract from .
The common factor should be canceled of .
Tap for more steps...
Cancel the common factor.
Divide by .
Use the reference angle by calculating the angle with equivalent triginometric values in the Initially quadrant.
The exact value of is .
Multiply by .
Sum and .
The final answer is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Simplify each term.
Tap for more steps...
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Multiply by .
Subtract from .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Should be rewritten the expression as a negative one since sine is negative in the 2nd quadrant.
The exact value of is .
Multiply by .
Multiply by .
Add and .
The result is .
Find the point at .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Simplify each term.
Tap for more steps...
Combine the numerators over the common denominator.
Subtract from .
The common factor should be canceled and .
Tap for more steps...
Factor out of .
The common factors should be canceled.
Tap for more steps...
Factor out of .
Cancel the common factor.
Reformulate the expression.
Divide by .
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
Multiply by .
Sum and .
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:
Do you need help with solving Graph f(x)=2sin(x-pi/2)+1? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.