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101 questions

Mathematical Reasoning

The graph of the equation y = x² is—

  • a.a pair of parallel lines
  • b.a U-shaped curve✓
  • c.a straight line
  • d.a circle

Squaring makes negative and positive x-values give the same positive y, so the graph is a parabola opening upward, symmetric about the y-axis. A straight line comes from an equation where x appears to the first power only. A circle requires both variables squared and summed. And parallel lines come from a pair of separate linear equations.

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