Respuesta :
The vertex of a quadratic occurs when the velocity, dy/dx=0.
dy/dx=2x+8, so dy/dx=0 only when:
2x+8=0
2x=-8
x=-4, now you find the y coordinate which is:
y(-4)=(-4)^2+8(-4)+12
y(-4)=16-32+12
y(-4)=-4 so the vertex is at the point:
(-4,-4)
dy/dx=2x+8, so dy/dx=0 only when:
2x+8=0
2x=-8
x=-4, now you find the y coordinate which is:
y(-4)=(-4)^2+8(-4)+12
y(-4)=16-32+12
y(-4)=-4 so the vertex is at the point:
(-4,-4)
[tex]y=x^2+8x+12\\\\ y=(x-p)^2+q \\\\ [/tex] W = (p,q)
[tex]y=(x+4)^2-16+12\\\\ y=(x+4)^2-4[/tex]
W = (-4, -4)
[tex]y=(x+4)^2-16+12\\\\ y=(x+4)^2-4[/tex]
W = (-4, -4)