Question

Write an equation that has these characteristics: period =2π, Maximum = 12; midline: y= 11; y-intercept: (0, 11)

Answer 1

`y = \sin(x) + 11`

Explanation:

The sine or cosine function and their reciprocals has a period of 2π.

The maximum should be 12 and midline equal y=11.

This means the must have an amplitude of

a=12-11=1

If the y-intercept is (0,11) the y-intercept was translated up 11 units from the origin so it should be a sine graph.

The function is of the form:

`y = a \sin(x) + b`

where a=1 and b=11

The function is

`y = \sin(x) + 11`