Answer:
Step-by-step explanation:
The given equation is
[tex]x^{2} =-2py[/tex]
This equation represents a parabola, where [tex]p[/tex] is the main parameter.
Also, we know that the point [tex](-6,1)[/tex] is on the parabola, which means we can use it to find the parameter [tex]p[/tex].
[tex]x^{2} =-2py\\(-6)^{2} =2p(1)\\36=2p\\p=\frac{36}{2}\\ p=18[/tex]
Therefore, the paremeter [tex]p[/tex] is 18.