Find Amplitude, Period, and Phase Shift y=-4sin(2pix)

$y = - 4 \sin (2 π x)$

Use the form $a \sin (b x - c) + d$ to find the variables used to find the amplitude, period, phase shift, and vertical shift.

$a = - 4$

$b = 2 π$

$c = 0$

$d = 0$

Find the amplitude $| a |$ .

Amplitude: $4$

Find the period using the formula $\frac{2 π}{| b |}$ .

Tap for more steps...

The period of the function can be calculated using $\frac{2 π}{| b |}$ .

Period: $\frac{2 π}{| b |}$

Replace $b$ with $2 π$ in the formula for period.

Period: $\frac{2 π}{| 2 π |}$

Solve the equation.

Tap for more steps...

$2 π$ is approximately $6.2831853$ which is positive so remove the absolute value

Period: $\frac{2 π}{2 π}$

Cancel the common factor of $2$ .

Tap for more steps...

Cancel the common factor.

Period: $\frac{2 π}{2 π}$

Rewrite the expression.

Period: $\frac{π}{π}$

Cancel the common factor of $π$ .

Tap for more steps...

Cancel the common factor.

Period: $\frac{π}{π}$

Divide $1$ by $1$ .

Period: $1$

Find the phase shift using the formula $\frac{c}{b}$ .

Tap for more steps...

The phase shift of the function can be calculated from $\frac{c}{b}$ .

Phase Shift: $\frac{c}{b}$

Replace the values of $c$ and $b$ in the equation for phase shift.

Phase Shift: $\frac{0}{2 π}$

Cancel the common factor of $0$ and $2$ .

Tap for more steps...

Factor $2$ out of $0$ .

Phase Shift: $\frac{2 (0)}{2 π}$

Cancel the common factors.

Tap for more steps...

Factor $2$ out of $2 π$ .

Phase Shift: $\frac{2 (0)}{2 (π)}$

Cancel the common factor.

Phase Shift: $\frac{2 \cdot 0}{2 π}$

Rewrite the expression.

Phase Shift: $\frac{0}{π}$

Divide $0$ by $π$ .

Phase Shift: $0$

Find the vertical shift $d$ .

Vertical Shift: $0$

List the properties of the trigonometric function.

Amplitude: $4$

Period: $1$

Phase Shift: $0$ ( $0$ to the right)

Vertical Shift: $0$

Do you know how to Find Amplitude, Period, and Phase Shift y=-4sin(2pix)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	one billion seven hundred fifty-eight million nine hundred eighty-five thousand five hundred twenty-eight

Interesting facts

1758985528 has 64 divisors, whose sum is 6103771200
The reverse of 1758985528 is 8255898571
Previous prime number is 47

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 58
Digital Root 4

Name

Name	two billion forty-six million two hundred sixty-one thousand six hundred thirty-one

Interesting facts

2046261631 has 4 divisors, whose sum is 2135229552
The reverse of 2046261631 is 1361626402
Previous prime number is 23

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 31
Digital Root 4

Name

Name	eight hundred ninety-four million twenty-nine thousand fifty-five

Interesting facts

894029055 has 32 divisors, whose sum is 1444608000
The reverse of 894029055 is 550920498
Previous prime number is 607

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 42
Digital Root 6

Find the Exact Value arcsin(-0.79)

Graph y=x^2-12x+2

Find the Exact Value sec(arcsin(-1/2))

Graph cos(x)=(11pi)/6

Determine if True sin(0)=1/4