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1 Write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6, 0) and (4, 0).

1 Write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6, 0) and (4, 0).

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Ⓒ Carnegie Learning, Inc. JOURNAL Describe how to determine the concavity of a parabola. PRACTICE LESSON 4 ASSIGNMENT > Use a separate piece of paper for your Journal entry. REMEMBER The form of a quadratic function-general, factored, or vertex-reveals different key characteristics, such as the x-intercept(s), y-intercept, vertex, axis of symmetry, and concavity up or down. Write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6, 0) and (4, 0). Given three points, you can determine a unique quadratic function algebraically by writing and solving a system of equations. 2 Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters. a Write a quadratic function to represent the height of the arrow as a function of its distance. Go to Live Determine the height of the arrow after it has flown a distance of 100 meters. chin 3 Use your knowledge of reference points to write an equation for the quadratic function that has a vertex at (4, -3) and passes through (6, -1).
Transcribed Image Text:Ⓒ Carnegie Learning, Inc. JOURNAL Describe how to determine the concavity of a parabola. PRACTICE LESSON 4 ASSIGNMENT > Use a separate piece of paper for your Journal entry. REMEMBER The form of a quadratic function-general, factored, or vertex-reveals different key characteristics, such as the x-intercept(s), y-intercept, vertex, axis of symmetry, and concavity up or down. Write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6, 0) and (4, 0). Given three points, you can determine a unique quadratic function algebraically by writing and solving a system of equations. 2 Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters. a Write a quadratic function to represent the height of the arrow as a function of its distance. Go to Live Determine the height of the arrow after it has flown a distance of 100 meters. chin 3 Use your knowledge of reference points to write an equation for the quadratic function that has a vertex at (4, -3) and passes through (6, -1).
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