1. Apollo 13: Quadratic Regression project
Sophia Ashton and Madison Cho

2. 1) What does this data look like?
A parabola

3. 2) What does the x-axis represent?
The Moon

4. 3) Does it look like apollo 13 will hit the moon?
Yes, it does look like Apollo 13 will hit the moon.

5. 4) What is the value of a, b, and c?
A= 3 B= -78 C= 500

6. 5) How well does your graph fit the data points?
This graph fits the data exactly, because r^2=1 and the curve went through the points.

7. 6) What is the minimum point of your quadratic function?
-b/2a 78/2(-3) = 13 Y=3(13)^2+(-78)(13)+500 Y=(507) Y=7 (13, 7)

8. 7) Does your model tell you that Apollo 13 crashed into the surface of the moon, just touches the surface, or pulls away before reaching the surface? Explain
Our model tells us that Apollo 13 crashed because it went under the surface. (Y is negative)

9. 8) Approximately where is the rocket at t=10 seconds, according to the model?
20km (10, 20)

10. 9) What is the y-intercept
9) What is the y-intercept? What does this point represent in terms of this situation?
Y-intercept = 500 Y=3(0)^2+(-78)(0)+500 The point represents the starting point before the rescue mission began.

11. 10) At what time will Apollo 13 crash into the moon
10) At what time will Apollo 13 crash into the moon? Explain how you answered this question.
11.47 seconds
We answered this question by finding the zero on the calculator