Find the foci, vertices, directrices, and axes of following parabola. Also draw their rough sketches :
`x^2+ 2y -3x+5=0`.

Find the foci, vertices, directrices, and axes of following parabola. Also draw their rough sketches : y=- 4x^2 + 3x .

Find the foci, vertices, directrices, and axes of following parabola. Also draw their rough sketches : y=x^2-2x +3 .

Find the area of the region enclosed between the parabolas x^2 = 4y and y^2 = 4x . Also draw its rough sketch.

Find the area of the region enclosed between the parabolas x^2 = 9y and y^2 = 9x . Also draw its rough sketch.

Find the area of the region enclosed between the parabolas x^2 = 16y and y^2 = 16x . Also draw its rough sketch.

Using integration, find the area of the region bounded by the following curves, after making a rough sketch: (i) y=1+|x+1|,x=-3,x=3,y=0.

Sketch the graphs of the following pair of equations on the same axes : y = cos 2x, y= cos (2x-pi) .