Answer:
The parent sine graph [tex]y=sin(x)[/tex] has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function [tex]y=sin(x)+2[/tex] we simply move the graph of [tex]y=sin(x)[/tex] up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
Attached diagram
The parent function [tex]y=sin(x)[/tex] is shown in grey (dashed line)
The function [tex]y=sin(x)+2[/tex] is shown in red.
