TI 84 Graphing Calculator Project Example Simple Sailboat

Hand Drawing

Writing Equations LINEAR FUNCTIONS y = mx + b m = slope Slope Method 1: Slope Method 2: y = y-intercept Method 1: extend the line to the y-axis Method 2: pick a point on the line (x, y). Substitute into y = mx + b and solve for “b”.

Writing Equations QUADRATIC FUNCTIONS Parent Function: y = x 2 Open downward: y = -x 2 Shift up 5 units: y = -x 2 + 5 Shift right 4 units: y = - (x-4)2 + 5 And Open wider: y = - 0. 5(x-4)2 + 5

Writing Equations

Start and Name a New Program: 1. Press PRGM button 2. Arrow right twice to NEW 3. Enter 4. You are now in alpha mode

Start and Name a New Program: 5. Name your program: 6. Use your first 3 initial of your last name followed by the first 3 initial of your first name 7. Example: John Smith will name his program SMIJOH

Initial Program Setup: 8. Press: 2 nd, DRAW, 1: Clr. Draw, ENTER 9. Press: ZOOM, 5: ZSquare, ENTER

Initial Program Setup: 10. . 11. Press: 2 nd, FORMAT, arrow down 3 & right once to Axes. Off, ENTER

Initial Program Setup: 12. Press: 2 nd, STATPLOT, 4: Plots. Off, ENTER 13. Press: VARS, arrow right once to Y-VARS, 4: On/Off, 2: Fn. Off, ENTER

Now You Are Ready to Enter Your Programming Code: 14. 2 nd, DRAW, 6: Draw. F is used to enter all functions. 15. Example:

Now You Are Ready to Enter Your Programming Code: ALPHA, : X, T, θ, n : 1: Draw. F x+9/(x≥-9 and x≤ 0) 2 nd, DRAW, 6: Draw. F 2 nd, TEST, 4: ≥ 2 nd, TEST, →, 1: and ENTER 2 nd, TEST, 6: ≤

Now You Are Ready to Enter Your Programming Code: ALPHA, : X, T, θ, n : 2: Draw. F -x+9/(x≥ 0 and x≤ 9) 2 nd, DRAW, 6: Draw. F 2 nd, TEST, 4: ≥ 2 nd, TEST, →, 1: and ENTER 2 nd, TEST, 6: ≤

Look At the Drawing So Far: • Press 2 nd, QUIT • Press PRGM, EXEC, select your program name, ENTER

Enter Edit Mode: • Press 2 nd, QUIT • Press PRGM, →, EDIT, select your program name, ENTER • Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code: : 3: Draw. F -3 x– 30/(x≥-9. 4 and x≤-8. 3) ENTER

Now You Are Ready to Enter Your Programming Code: : 4: Draw. F 3 x– 30/(x≥ 8. 3 and x≤ 9. 4) ENTER

Look At the Drawing So Far: • Press 2 nd, QUIT • Press PRGM, EXEC, select your program name, ENTER

Enter Edit Mode: • Press 2 nd, QUIT • Press PRGM, →, EDIT, select your program name, ENTER • Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code: : A: Draw. F 0/(x≥-9 and x≤ 9) ENTER

Now You Are Ready to Enter Your Programming Code: : B: Draw. F -2/(x≥-9. 3 and x≤ 9. 3) ENTER

Now You Are Ready to Enter Your Programming Code: : A: Draw. F 0/(x≥-9 and x≤ 9) : B: Draw. F -2/(x≥-9. 3 and x≤ 9. 3) • Press 2 nd, QUIT • Press PRGM, EXEC, select your program name, ENTER

Look At the Drawing So Far: • Press 2 nd, QUIT • Press PRGM, EXEC, select your program name, ENTER

Enter Edit Mode: • Press 2 nd, QUIT • Press PRGM, →, EDIT, select your program name, ENTER • Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code: 2 0. 3(x+10) – 6/(x≥-13 : 1: Draw. F and x≤-7. 6) ENTER

Now You Are Ready to Enter Your Programming Code: 2 0. 3(x+5) – 6/(x≥-7. 6 : 2: Draw. F and x≤-2. 5) ENTER

Now You Are Ready to Enter Your Programming Code: 2 0. 3(x+10) – 6/(x≥-13 : 1: Draw. F and x≤-7. 6) 2 0. 3(x+5) – 6/(x≥-7. 6 : 2: Draw. F and x≤-2. 5)

Now You Are Ready to Enter Your Programming Code: : 3: Draw. F 2 0. 3 x – 6/(x≥-2. 5 x≤ 2. 5) ENTER and

Now You Are Ready to Enter Your Programming Code: 2 0. 3(x-5) – 6/(x≥ 2. 5 : 4: Draw. F and x≤ 7. 2) ENTER

Now You Are Ready to Enter Your Programming Code: : 5: Draw. F 2 0. 3(x-10) – 6/(x≥ 7. 2 and x≤ 13) ENTER

Now You Are Ready to Enter Your Programming Code: : 3: Draw. F 2 0. 3 x – 6/(x≥-2. 5 and x≤ 2. 5) : 4: Draw. F 0. 3(x– 5)2– 6/(x≥ 2. 5 and x≤ 7. 2) : 5: Draw. F 0. 3(x– 10)2– 6/(x≥ 7. 2 and x≤ 13)

Look At the Drawing So Far: • Press 2 nd, QUIT • Press PRGM, EXEC, select your program name, ENTER

Enter Edit Mode: • Press 2 nd, QUIT • Press PRGM, →, EDIT, select your program name, ENTER • Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code: : C: Line(-0. 5, -2, -0. 5, 8. 5) 2 nd, DRAW, 2: Line ENTER

Now You Are Ready to Enter Your Programming Code: : D: Line(0. 5, -2, 0. 5, 8. 5) ENTER

Now You Are Ready to Enter Your Programming Code: : E: Circle(10, 6, 2) ENTER

Now You Are Ready to Enter Your Programming Code: : C: Line(-0. 5, -2, -0. 5, 8. 5) : D: Line(0. 5, -2, 0. 5, 8. 5) : E: Circle(10, 6, 2) 2 nd, DRAW, 9: Circle