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Parabola

Parabola

Properties2
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aliasesparabola

20 lug 20261 min read

Topic — Parabola.

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12

Linked atoms

23 linked atoms.

12 La parabola

  • Absolute value of 3x+2 less than 5 (|3x+2| < 5)
  • Absolute value of x-2 less than or equal to x+1 (|x-2| ≤ x+1)
  • Absolute value of x²-1 greater than or equal to 3 (|x²-1| ≥ 3)
  • Definition of a parabola
  • Equation with two absolute values (|2x-1| = |x+3|)
  • Equations with absolute value
  • (x-2) ≤ 0)
  • Functions with absolute value
  • General splitting method
  • Inequality with absolute values and squares (|x²-4| > |x-2|)
  • Inequality with the absolute value of a trinomial (|x²-5x+6| ≥ 2x-3)
  • Inequality with two absolute values by squaring (|x| < |x-1|)
  • Intersections between a parabola with an absolute value and a line
  • Line tangent to the parabola
  • Line–parabola intersections
  • Mixed cases with two absolute values
  • Rectangle of maximum area in a semicircle
  • Special case - modulus greater than or equal to B(x)
  • Special case - modulus less than or equal to B(x)
  • Sum of three absolute values less than 4 (|x|+|x-1|+|x-2| < 4)
  • Sum of two absolute values less than or equal to 6 (|x-1|+|x+2| ≤ 6)
  • Two forms for finding the equation
  • Vertex, axis and concavity

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  • Definition of a parabola
  • Vertex, axis and concavity
  • Two forms for finding the equation
  • Line–parabola intersections
  • Line tangent to the parabola
  • Functions with absolute value
  • Equations with absolute value
  • General splitting method
  • Special case - modulus less than or equal to B(x)
  • Special case - modulus greater than or equal to B(x)
  • Mixed cases with two absolute values
  • Rectangle of maximum area in a semicircle
  • Absolute value of x-2 less than or equal to x+1 (|x-2| ≤ x+1)
  • Inequality with the absolute value of a trinomial (|x²-5x+6| ≥ 2x-3)
  • Fractional inequality with an absolute value ((|x|-1)/(x-2) ≤ 0)
  • Intersections between a parabola with an absolute value and a line
  • Inequality with two absolute values by squaring (|x| < |x-1|)
  • Sum of two absolute values less than or equal to 6 (|x-1|+|x+2| ≤ 6)
  • Equation with two absolute values (|2x-1| = |x+3|)
  • Inequality with absolute values and squares (|x²-4| > |x-2|)
  • Sum of three absolute values less than 4 (|x|+|x-1|+|x-2| < 4)
  • Absolute value of 3x+2 less than 5 (|3x+2| < 5)
  • Absolute value of x²-1 greater than or equal to 3 (|x²-1| ≥ 3)