Question

Urgent！！！！pleasehelp

Answer 1

Answer:

y + 2 = -2(x - 3)^2

Step-by-step explanation:

We can see immediately that the vertex is at (3, -2).  

The vertex form of the equation of a parabola is

y - k = a(x - h)^2.

If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2.  But seeing that this particular parabola opens downward, the equation is

y + 2 = -2(x - 3)^2.

Check:  Does the point (2, -4) satisfy this equation?

-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.