Question

Brainliest for help! Sketch a graph of the function y =sin(x) + 2

Answer 1

Answer:

The parent sine graph $y=sin(x)$ 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 $y=sin(x)+2$ we simply move the graph of $y=sin(x)$ 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 $y=sin(x)$ is shown in grey (dashed line)

The function $y=sin(x)+2$ is shown in red.