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

From the equation of the parabola in vertex-form, it's line of symmetry is given by:

The equation of a parabola of vertex (h,k) is given by:

The line of symmetry is given by:

In this problem, the parabola is modeled by the following equation:

Hence, the coefficients of the vertex are , and the line of symmetry is:

A similar problem is given at link

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2