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Identify the center and intercepts of the conic section

Identify the center and intercepts of the conic section-example-1
User Jada
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Answer:

  • center: (0, 0)
  • x-intercepts (-3, 0), (3, 0)
  • y-intercepts (0, -5), (0, 5)
  • domain -3 ≤ x ≤ 3
  • range -5 ≤ y ≤ 5

Explanation:

Your answer is correct except for the intercepts.

The x-intercepts are where the graph crosses the x-axis. Those points are (-3, 0) and (3, 0). They can be identified in a list of points by the fact that the y-coordinate is zero (corresponding to the x-axis).

The y-intercepts are where the graph crosses the y-axis. Those points are (0, -5) and (0, 5). They can be identified in a list of points by the fact that the x-coordinate is zero (corresponding to the y-axis).

User Shubham Goel
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