Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sigwhat is the axis of symmetry for f(x)=2x^2+ 8x +8 a. x= -2 b. x=-4 c. x=4 d. x=2

To find the axis of symmetry, one way is to convert the equation to vertex form and you can find the symmetry from the vertex

f(x) = 2(x^2 + 4x +  ) + 8 -
f(x) = 2(x^2 + 4x + (4/2)^2 ) + 8 - (4/2)^2
f(x) = 2(x^2 + 4x + 4 ) + 8 - 4
f(x) = 2(x + 2)^2 + 4 - Vertex form

Vertex is (-2, 4) so the axis of symmetry is x = -2

Zero is the mid point of the line segment