1) The equation $y^{2}+3=2(2x+y)$ represents a parabola with the vertex at A) (1/2,1) and axis parallel to y-axis B) (1,1/2) and axis parallel to x-axis C) (1/2,1) and focus at (3/2,1) D) (1,1/2) and focus at (3/2,1) Answer: Option CExplanation:The given equation can be rewritten as $(y-1)^{2}=4\left(x - \frac{1}{2}\right)$ which is a parabola with its vertex (1/2,1) axis along the line y = 1, hence axis parallel to x-axis. Its focus is (3/2,1).
