Complex Analysis

Graphing functions

(a) Find the equation of the straight line which:

(i)has a slope of 4 and passes through the point (2,3),

(ii) is parallel to the line y5x and goes through the point (1,1),

(iii)Crosses the axes at x =1 and y = 5.

(b) Sketch the following function, noting and stating the coordinates for anypoints where they cross the axes and for any turning point (minimum ormaximum) possessed by the function:

y=-4 x^{2}+3 x+1

) Find the equation of the circle that passes through (-1,3), (1,-1) and (2,2)

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