In math class, we used desmos to graph Santa face. We learned about different types of graphs such as linear function, quadratic function, cubic function, square root function, absolute value function, and rational function. I used the relation, x²+y²=6 to make the face of Santa, Relations (x-0.9)²+(y-0.7)²≤0.1 and (x+0.9)²+(y-0.7)²≤0.1 to make eyes. x²+(y+0.3)²≤0.2 for the nose. I used function, the parabola y=-2x²+9 {xl x∈R, -1.9≤x≤1.9} for Santa hat. Relation, the circular equation x²+(y-9.6)²=0.5 for the round shape on top of the hat. I used function, parabola y=0.2x²-1.2 {xl x∈R, -2.5≤x≤2.5} to draw the top part of Santa’s beard and bottom for y=0.8x²-5 {xl y∈R, y≤0}. At last to draw mouth, I used the basic function y=-1.4 {xl x∈R, -1.2≤x≤1.2}

I mostly used circular equation x²+y²=4, to move the center of circle (0,0) to 2 to right and 2 to up. I would use the equation (x-2)²+(y-2)²=4.