What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−3)2+4? Enter your answer as the correct equation, like this: x = 42

Let y =0

0 = - 2(x-3)^2 + 4

0 = -2(x^2 - 6x +9) +4

0 = -2x^2 +12x - 18 +4

14 = - 2x(x - 6)

-2x = 14 or x - 6 = 14

x = - 7. or. x = 20

Is this correct?

the answer would be 0.54

x:       y:  

-1         4

0         4

1         6

2         18

3         20