Question

Which equation represents the axis of symmetry of the function y = –2x² + 4x –6? (1 point)
y = 1
x = 1
x = 3
x = –3

Answer 1

y = –2x² + 4x –6 = x² - 2x +3 = (x-1)² + 4
so the vertex of the parabola is in (1,4)
so answer is x= 1

Answer 2

ups, made a mistake.
is (x-1)² +2,
but answr is the same anyway

Answer 3

even though your answer is correct for x=1, i think there's a problem with your steps.
you cannot just cannel the '-2'
y = –2x² + 4x –6 =-2( x² - 2x) -6 = -2(x-1)² - 4
vertex should be (1, -4) and the axis of symmetry is x=1

Answer 4

i got 1 for x too