Roller Coaster Portfolio
Algebra 2A: Unit 3 Lesson 7
Honors Algebra 2A: Unit 3 Lesson 9
Algebra 2A Part 1: Unit 3 Lesson 8
Instructions:
1. Using your own graph paper or the graph paper attached below, draw the side view of a roller coaster. Do not make it too difficult or detailed. All you need is a starting point (somewhere on the y-axis), two hills, one loop, and an end point. (2 pts)
2. The x-axis and y-axis are labeled for you on the graph paper below. If you are using your own graph paper, outline label the x and y axes in a similar way. For each of the hills that you drew, label the coordinates (x, y) for the bottom of the hill and the top of the hill. (2 pts)
3. Find the slopes for each of your hills. Remember the formula for slope is m= y2- y2x2- x1 . (5 pts)
4. Find the equation of the line that represents your first hill. Write your equation in slope-intercept form: 𝑦 = 𝑚𝑥 + 𝑏 . (5 pts)
5. What is the domain and range of your roller coaster? Remember domain represents all the possible x values and the range represents all the possible y values. Write your domain and range in the form [start, end] or start ≤ x ≤ end. (2 pts)
6. Which hill is the steepest? How do you know? (2 pts)
7. Is your roller coaster a function or a relation? How do you know this? (2 pts)
1. I cannot draw the graph without a visual representation. Please refer to the attached graph paper or use your own graph paper to draw the roller coaster.
2. Label the coordinates of each hill (bottom and top).
3. Find the slopes for each hill using the formula m = (y2 - y1) / (x2 - x1).
4. Find the equation of the line that represents the first hill in slope-intercept form: y = mx + b.
5. Determine the domain and range of the roller coaster. Domain represents all possible x-values, and range represents all possible y-values.
6. Identify the steepest hill and explain why it is the steepest.
7. Determine whether the roller coaster is a function or a relation and explain the reasoning behind your answer.