Answer:
The correct approach is Option A (-4).
Step-by-step explanation:
The given values are:
Vertex of the parabola,
(h, k) = (3, 5)
Passing through,
(x, y) = (-1, 6)
As we know,
The equation of parabola is:
⇒ [tex]x=a(y-k)^2+h[/tex]
On substituting the given values in the above equation, we get
⇒ [tex]-1=a(6-5)^2+3[/tex]
⇒ [tex]-1=a+3[/tex]
On substracting "3" from both sides, we get
⇒ [tex]-1-3=a+3-3[/tex]
⇒ [tex]a=-4[/tex] (coefficient of squared term)
Thus the above is the right choice.