Answer:
The correct option is C)
.
Step-by-step explanation:
Consider the provided information.
The equation of a parabola (horizontal) is:
![x=a(y-k)^2+h](https://tex.z-dn.net/?f=x%3Da%28y-k%29%5E2%2Bh)
Where (<em>h</em>,<em>k</em>) are the vertex of the parabola.
Parabola opens left if the value of <em>a</em> is negative.
It is given that the vertex of the parabola is (5,-12) and it opens to the left.
Substitute the value of <em>a</em> = -1, <em>h</em> = 5 and <em>k</em> = -12 in the equation of parabola.
![x=-1(y-(-12))^2+5](https://tex.z-dn.net/?f=x%3D-1%28y-%28-12%29%29%5E2%2B5)
![x=-(y+12)^2+5](https://tex.z-dn.net/?f=x%3D-%28y%2B12%29%5E2%2B5)
For better understanding refer to the figure 1:
Therefore, the correct option is C)
.