For f(x), the function uses the following formula:

The y-intercept in this formula is represented by c.
f(x) has a c value of -4, so the y-intercept of f(x) is -4.
For g(x), the y-intercept is found when the graph cross the y-axis.
g(x) cross the y-axis at y = 0, so the y-intercept of g(x) is 0.
For h(x), the y-intercept is found by taking the output at x = 0.
At x = 0, the y value that is output is -2, so the y-intercept is -2.
Compare the three y-intercepts:




The function with the greatest y-intercept is g(x), with a y-intercept of 0.