Your answer should be 126.4 (rounded)
x² - 14x + 46 = 0
subtract 46 from both-side
x² - 14x = -46
Add the square of the half of the co-efficient of x
x² - 14x + (-7)² = -46 + 7²
(x-7)² = -46 + 49
(x-7)² =3
Take the square root of both-side
x-7 = ±√3
x-7= ±1.732
Add 7 to both-side of the equation.
x= 7 ± 1.732
Eithe x= 7 + 1.732 or x= 7 - 1.732
x=8.732 or x=5.268
Therefore x = 8.732 , 5.268
Its best to use the base equation they give you.
Y=-a(f(x+h))+k
a and k, the outer ones, are for the vertical part. Being multiplication as a stretch and division as a compression. While the k is translated left or right depending on its sign.
The same is for within the parentheses but always the opposite. Positive is negative. Stretch is compression and so on.
The answer is A.