Question

Which graph represents the function y = cos(4x)?

Answer is graph B

Answer 1

B

Explanation:

Answer 2

Explanation:

Let the equation of the cosine function is,

y = Acos(Bx)

From the graph attached,

A = Amplitude =
`(1-(-1))/(2)`

= 1

B =
`\frac{2\pi}{\text{Period}}`

B =
`(2\pi)/((\pi)/(2)-0)`

B =
`(4\pi)/(\pi)`

B = 4

Therefore, equation of the cosine wave given in the graph will be,

y = 1.Cos(4x)

y = Cos(4x)