PLEASE HELP 100POINTS WILL GIVE BRAINLEST g(x)=-2x^2+8x+3 Write the function g(x) in the form y=a(x-h)^2+k. Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer.

Answer:y = -2(x -2)^2 + 11Step-by-step explanation:It works well to factor the leading coefficient from the first two terms.... y = -2(x^2 -4x) +3Now we want to add the square of half the x-coefficient inside parentheses, and subtract the equivalent quantity outside parentheses.... y = -2(x^2 -4x +4) +3 - (-2·4)... y = -2(x -2)^2 +11 . . . . . . . .  simplify_____The form given in the problem statement is called "vertex form," where the vertex of the parabola is (h, k). A graph shows us the vertex is (2, 11), so we can write the function immediately as ...... y = -2(x -2)^2 +11