To determine the equation of a parabola that passes through the points
Answer to Problem 9P
Explanation of Solution
Given:
A parabola that passes through the points
Formula Used:
The equation of a parabola is:
Calculation:
Given the parabola that passes through the points
We need to calculate the co-efficient for each of the three points by substituting the values of x and y for each point.
Hence, for the point
For the point
For the point
Solving the equation
Putting the value of
Putting the value of
Putting the value of
Now, putting the values of a, b and c in the general equation of the parabola
Hence, the answer is
Conclusion:
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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