Which function has the smallest minimum y-value?

fx) = 2 sin (3x + π) - 2

g (x) = (x - 3) 2 - 1

h (x) >

x y

-2 3

-1 - 2

0 - 5

1 - 6

2 - 5

3 - 2

4 3

The minimum value of sine is negative one, so f (x) has minimum - 2-2=4. The square function has minimum 0, so g (x) has minimum 0-1=-1.

h (x) has minimum - 6 when x=1, so it has the smallest minimum.