To find: The equation of the parabola passing through three points.
The points
Given data: The given three points are
Formula used:
The equation of a parabola is a quadratic function
Calculation:
Let the equation of parabola passing through points
The parabola (1) passes through point
Substitute
OR
The parabola (1) passes through point
Substitute
OR
The parabola (1) passes through point
Substitute
OR
Subtract equation (2) from equation (3),
From equation (4)
Substitute -3 for
Substitute −1 for c in equation (2)
From equation (3)
Substitute -1 for c and -1 for
Since,
Substitute,
But
Therefore, no parabola passes through points
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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