At least two ways in which the assumed equation might be in error.
Two ways in which the assumed equation of the parabola, based on the given information might be in error, have been provided.
Given:
The vertex of a parabola is at the origin, one unit away from the focus.
It is assumed that the equation of the parabola is
Concept used:
The equation of a parabola with the vertex at origin and focus at
The equation of a parabola with the vertex at origin and focus at
Calculation:
It is given that the vertex of a parabola is at the origin, one unit away from the focus.
It is assumed that the equation of the parabola is
This implies that it is assumed that the focus of the parabola is at
However, the focus of the parabola may also be at
If the focus lies at
If the focus lies at
These are the two ways in which the assumed equation might be in error.
Conclusion:
Two ways in which the assumed equation of the parabola, based on the given information might be in error, have been provided.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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