Instructions: Use algebraic techniques to solve problems, unless otherwise instructed. Show the calcula to your answers (except basic arithmetic), when there is work to show. Simplify and circle your final ans 1. (8 pts.) Consider the equation 4x2 +4y-4x+24y+37 = 36. (a) What is the standard form of the equation of the circle? Also, find the coordinates of the ce radius and the diameter of the circle. 2 2 4x+4y-4x + 24y+37=36 = 4(x + y = x + y) = 34-37 4(x + y=x+y)=-1 2 X x = x + x + () 21) + y + by +9- (x-1)+(y+3)=9 center (1-3) Radus =13 Diam: zxradiu = 2x 3 (b) (4 pts.) Sketch a graph of the circle.