∴k=4,a= 14,
∴ The analytical formula of inverse proportional function is: y = 4x,
The analytical formula of quadratic function is: y = 14x2+x? 1;
(2)∫ quadratic function y = 14x2+x? The vertex of the image of 1 is B(-2, -2),
In y=4x, when x=-2, y = 4? 2=? 2,
∴ Vertex B(-2, -2) is on the image of inverse proportional function;
(3)∵ Point P is on the image with y = 4x, and the abscissa of point P is 1.
∴P( 1,4),
∴s△aop= 1×4+ 12(2+4)×(2- 1)- 12× 1×4- 12×2×2,
=4+3-2-2,
=3.