Graph y equals sin(x plus ninety) plus two

Graph y=sin(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 .
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 left)
Vertical Shift:
Select a few points to graph.
Tap for more steps...
Calculate the point at x=π .
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 and .
Add and .
The exact value of is .
Add and .
The result is .
Find the point at .
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...
Add and .
Add and .
Use the reference angle by calculating the angle with equivalent triginometric values in the Initially quadrant.
The exact value of is .
Sum 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...
Add and .
Add and .
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 .
First, 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...
Add and .
Add and .
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
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...
Add and .
Add and .
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
Add 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 left)
Vertical Shift:
Do you need help with solving Graph y=sin(x+90)+2? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.