
Concept explainers
To find: The number of that can be represented by quadratic system with two graphs.

Answer to Problem 52HP
The number of solutions can be 1 or 3.
Explanation of Solution
Given:
It is given that the vertex of a parabola lies on an ellipse.
Calculation:
A quadratic system represented by a parabola and an ellipse is given.
The following diagrams shows the graphs when the vertex of a parabola lies on an ellipse.
In this case, there is only one intersection point, so there is only one solution.
In this case, there is three intersection point, so there are three solutions.
Therefore, the number of solutions can be 1 or 3.
Chapter 10 Solutions
Algebra 2
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