Which of the following is the correct equation for this function?
it shows a graph with a parabola facing upwards with a vertex of (-3,-2) and the x intercept of (-2,0) and (-4,0)

A. y=x^2+3x-2
B. y+2=-2(x+3)^2
C. y=(x+4)(x+2)
D. y+2=2(x+3)^2

Question

Which of the following is the correct equation for this function?
 it shows a graph with a parabola facing upwards with a vertex of (-3,-2) and the x intercept of (-2,0) and (-4,0)

A.	y=x^2+3x-2
 		B.	y+2=-2(x+3)^2
 		C.	y=(x+4)(x+2)
 		D.	y+2=2(x+3)^2

anonymous · Answer

oh here we go again with over-determining the system

anonymous · Answer

you have vertex is $$(-3,-2)$$ so you know it must be 
$$y=a(x+3)^2-2$$ you know everything but 
$$a$$

anonymous · Answer

you find a by noting that if 
$$x=-2,y=0$$ so write 
$$0=a(-2+3)^2-2$$ and solve for a via 
$$0=a-2$$
$$a=2$$
so parabola is 
$$y=2(x+3)^2-2$$

anonymous · Answer

i think that is disguised as choice d