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2022 AMC 12B Question 8

AMC12 · 2022 AMC 12B

Question 8

What is the graph of $y^4 + 1 = x^4 + 2y^2$ in the coordinate plane?
  1. two intersecting parabolas
  2. two nonintersecting parabolas
  3. two intersecting circles
  4. a circle and a hyperbola
  5. a circle and two parabolas