1. Making a Smile Face
Pepper

2. Code you have
       DrawingPanel panel = new DrawingPanel (300, 200);        Graphics g = panel.getGraphics ( );                //first smiley face        g.setColor (Color.YELLOW);        g.fillOval (20, 10, 50, 50);        g.setColor (Color.BLACK);        g.fillOval (32, 25, 7, 7);        g.fillOval (50, 25, 7, 7);              g.drawOval (30, 37, 30, 15); // drawOval instead of fill to get a line        g.setColor (Color.YELLOW);// draw the blackout box        g.fillRect (30, 33, 30, 10);                //second smiley face        g.setColor (Color.YELLOW);        g.fillOval (230, 10, 50,50);        g.setColor (Color.BLACK);        g.fillOval (242, 25, 7, 7);        g.fillOval (260, 25, 7, 7);        g.drawOval (240, 37, 30, 15);        g.setColor (Color.YELLOW);        g.fillRect (240, 33, 30, 10);

3. Graphics methods Method name Description drawLine(x1, y1, x2, y2)
line between points (x1, y1), (x2, y2)
drawOval(x, y, width, height)
draws outline of largest oval that fits in a box of size width * height with top-left corner at (x, y)
drawRect(x, y, width, height)
draws outline of rectangle of size width * height with top-left corner at (x, y)
drawString(text, x, y)
writes text with bottom-left corner at (x, y)
fillOval(x, y, width, height)
fills largest oval that fits in a box of size width * height with top-left corner at (x,y)
fillRect(x, y, width, height)
fills rectangle of size width * height with top-left corner at (x, y)
setColor(Color)
Sets Graphics to paint subsequent shapes in the given color

4. Finding relationships
       DrawingPanel panel = new DrawingPanel (300, 200);        Graphics g = panel.getGraphics ( );                //first smiley face        g.setColor (Color.YELLOW);        g.fillOval (20, 10, 50, 50);        g.setColor (Color.BLACK);        g.fillOval (32, 25, 7, 7);        g.fillOval (50, 25, 7, 7);              g.drawOval (30, 37, 30, 15); // drawOval instead of fill to get a line        g.setColor (Color.YELLOW);// draw the blackout box        g.fillRect (30, 33, 30, 10);                //second smiley face        g.setColor (Color.YELLOW);        g.fillOval (230, 10, 50,50);        g.setColor (Color.BLACK);        g.fillOval (242, 25, 7, 7);        g.fillOval (260, 25, 7, 7);        g.drawOval (240, 37, 30, 15);        g.setColor (Color.YELLOW);        g.fillRect (240, 33, 30, 10);
What is the relationship between the 20,10
Big Circle start and the 32,25 eyes?
32 is 12 over and 15 down, so
You can set x = 20 and y = 10
And make the big circle with
g.fillOval(x,y,50,50)
And make the eye with
g.fillOval(x+12,y+15,7,7)

5. Coded with relationships
       DrawingPanel panel = new DrawingPanel (300, 200);        Graphics g = panel.getGraphics ( );       int x = 20;
int y = 10;  //first smiley face        g.setColor (Color.YELLOW);        g.fillOval (x, y, 50, 50);        g.setColor (Color.BLACK);        g.fillOval (x+12, y+15, 7, 7);        g.fillOval (x+30, y+15, 7, 7);              g.drawOval (x+10, y+17, 30, 15); // drawOval instead of fill to get a line        g.setColor (Color.YELLOW);// draw the blackout box        g.fillRect (x+10, y+23, 30, 10);       x = 230;
y = 10;         //second smiley face        g.setColor (Color.YELLOW);        g.fillOval (x, y, 50, 50);        g.setColor (Color.BLACK);        g.fillOval (x+12, y+15, 7, 7);        g.fillOval (x+30, y+15, 7, 7);              g.drawOval (x+10, y+17, 30, 15); // drawOval instead of fill to get a line        g.setColor (Color.YELLOW);// draw the blackout box        g.fillRect (x+10, y+23, 30, 10);

6. Coded with Methods
       DrawingPanel panel = new DrawingPanel (300, 200);        Graphics g = panel.getGraphics ( );   smile(10,20); //first smiley face smile (230,10); // second face
public static void smile(int x, int y){
g.setColor (Color.YELLOW);        g.fillOval (x, y, 50, 50);        g.setColor (Color.BLACK);        g.fillOval (x+12, y+15, 7, 7);        g.fillOval (x+30, y+15, 7, 7);              g.drawOval (x+10, y+17, 30, 15);
// drawOval instead of fill to get a line        g.setColor (Color.YELLOW);// draw the blackout box        g.fillRect (x+10, y+23, 30, 10);       }