We have
First, let's graph some points in order to graph the function
x=-4
y=(-4)^2+4(-4)-5=-5
point (-4,-5)
x=-2
y=-9
point (-2,-9)
x=0
y=-5
point (0,-5)
x=2
y=7
point (2,7)
x=4
then we graph the points, and we obtain the next graph
the y-intercept is the value of the coordinate y when the x-coordinate is zero, as we can see in the image the y-intercept is in the point in purple (0,-5)
the y-intercept is -5