In this assignment, it asked to create a Santa using the basic function/relation equations that we knew. I have created a hat, a face, moustache, and a beard.

For the face, I used circles (eyes), and a parabola (mouth). I used 2 + 2 < 16 for the face shape because I wanted the face to be shaded in but the not edge so I did not put a ‘or equal than’ sign. For the eyes, I based it off the formula + = like I did for the face shape. Since I wanted to fill the eyes in, I used one of the inequality signs. For the top of the moustache, beard, and his mouth, I based it off the parabola formula y= . To get the parabolas to the location I wanted, I put in the right number as the y-intercept to make sure I got the location I wanted. The top of the moustache was upside down, so I put a negative sign in front of x. I also did trial and error for the expansion and compression numbers in front of the x’s and y’s, so they fit in with the other edges of the face. The parabolas had to have either a domain or range, so they do not cross the line that I want them to stop at.

The bottom of the moustache and the rectangle of the hat was based off the equations y=(a number) and x=(a number). It was like choosing the x- and y-intercept to get a straight line to a certain limit by using specific domains and ranges. For the curves of the hat I used the function equation: y=square root of x. I added numbers in front of x to change the ‘height’ of the graph and then also used a domain restriction for both lines.