Question

The vertex of this parabola is at (-3,-2). Which of the following could be itsequation?

Answer 1

The vertex form for a horizontal parabola is given by:

$x=a(y-h)^2+k$

The vertex is the point V(h,k), so:

$\begin{gathered} V(h,k)=V(-3,-2) \\ so\colon \\ x=a(y-(-3))^2+(-2) \\ x=a(y+3)^2-2 \end{gathered}$

Therefore, the equation should be:

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