Answer
x-intercepts: $(-4,0), (3,0)$
y-intercept: $(0,-6)$
Work Step by Step
To find the x-intercept, set $y=0$:
$0=(x-3)\sqrt{x+4}$
$x-3=0, \sqrt{x+4}=0$
$x=3, -4$
To find the y-intercept, set $x=0$:
$y=(0-3)\sqrt{0+4}$
$y=-3*2$
$y=-6$