Compare the functions shown below:
f(x) = -3x + 2
h(x) = 4 sin(2x + Pi) + 3

This shows that the function that has the greatest y-intercept is h(x) = 4 sin(2x + Pi) + 3
The y-intercept of the functions is the point where x = 0.
For the expression f(x) = -3x + 2
when x = 0
f(0) = -3(0) + 2
f(0) = 2
Hence the y-intercept of the function f(x) = -3x + 2 is 2
For the expression h(x) = 4 sin(2x + Pi) + 3
when x = 0
h(0) = 4 sin(2(0) + Pi) + 3
h(0) = 4 sin(0 + Pi) + 3
h(0) = 4 sin(Pi) + 3
h(0) = 4(0) + 3
h(0) = 3
This shows that the y-intercept of the function h(x) = 4 sin(2x + Pi) + 3 is 3
This shows that the function that has the greatest y-intercept is h(x) = 4 sin(2x + Pi) + 3
Learn more on y-intercept here:
https://brainly.com/question/22842318