Perrin is experimenting with the parabola y=x². He draws the graph shown below: 20 16. 12 4 8 12 16 -16 -12 -8 4 -41 -8 Perrin finds -3 on the x-axis. 1. What are the coordinates of the point on the parabola when x = -3? Label it point A on the graph above. 2. Perrin wants to determine the points of the parabola when y = 16. What are the points of the parabola? %3D
Perrin is experimenting with the parabola y=x². He draws the graph shown below: 20 16. 12 4 8 12 16 -16 -12 -8 4 -41 -8 Perrin finds -3 on the x-axis. 1. What are the coordinates of the point on the parabola when x = -3? Label it point A on the graph above. 2. Perrin wants to determine the points of the parabola when y = 16. What are the points of the parabola? %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Perrin's Parabola
MAC Assessment Task
Perrin is experimenting with the parabola y=x². He draws the graph shown below:
20
16
12
8.
-4
-4.
4 8 12 16
-16 -12 -8
-81
Perrin finds -3 on the x-axis.
1. What are the coordinates of the point on the parabola when x = -3?
Label it point A on the graph above.
2. Perrin wants to determine the points of the parabola when y = 16. What are the
points of the parabola?
Label the point in the first quadrant B.
ЛАС Test 11
Silicon Valley Mathematics Initiative 2014. To reproduce this document, permission must be granted by the
VMI info@svmimac.org
Perrin's Parabola
P1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e81ba9b-cfa3-4d20-8efc-cf306e052f76%2F980dabcd-4b52-4c4a-957c-2382910aedb4%2Febkcola_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Perrin's Parabola
MAC Assessment Task
Perrin is experimenting with the parabola y=x². He draws the graph shown below:
20
16
12
8.
-4
-4.
4 8 12 16
-16 -12 -8
-81
Perrin finds -3 on the x-axis.
1. What are the coordinates of the point on the parabola when x = -3?
Label it point A on the graph above.
2. Perrin wants to determine the points of the parabola when y = 16. What are the
points of the parabola?
Label the point in the first quadrant B.
ЛАС Test 11
Silicon Valley Mathematics Initiative 2014. To reproduce this document, permission must be granted by the
VMI info@svmimac.org
Perrin's Parabola
P1
![es c
3. Write the equation of the line AB.
Show how you figured it out.
Perrin said, "The absolute value of the product of the two x coordinates on the parabola is
equal to the y-intercept of the line that contains them."
4. Show that this statement is true for this case.
5. Prove that it is true for any two pairs of points on the parabola that lie on opposite
sides of the axis of symmetry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e81ba9b-cfa3-4d20-8efc-cf306e052f76%2F980dabcd-4b52-4c4a-957c-2382910aedb4%2Fjhn6rpl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:es c
3. Write the equation of the line AB.
Show how you figured it out.
Perrin said, "The absolute value of the product of the two x coordinates on the parabola is
equal to the y-intercept of the line that contains them."
4. Show that this statement is true for this case.
5. Prove that it is true for any two pairs of points on the parabola that lie on opposite
sides of the axis of symmetry.
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