Processing math: 100%


1)

The equation y2+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 C

Explanation:

The given equation can be rewritten as

(y1)2=4(x12) 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).