PC Finals

• Standard Form of an Equation of a Parabola at (0,0) on the y-axis

  Focus: (p,0)
• Standard Form of an Equation of a Parabola at (0,0) on the y-axis

  Opening:

  p<0 or negative = leftward

  p>0 or positive = rightward
• Standard Form of an Equation of a Parabola at (0,0) on the y-axis

  Latus Rectum: (p,+/-2p)
• Standard Form of an Equation of a Parabola at (0,0) on the y-axis

  Axis of Symmetry: y=k
• Standard Form of an Equation of a Parabola at (0,0) on the y-axis

  Directrix: x=-p
• Standard Form of an Equation of a Parabola at (0,0) on the x-axis

  Focus: (0,p)
• Standard Form of an Equation of a Parabola at (0,0) on the x-axis

  Opening:

  p<0 or negative = downward

  p>0 or positive = upward
• Standard Form of an Equation of a Parabola at (0,0) on the x-axis

  Latus Rectum: (+/-2p,p)
• Standard Form of an Equation of a Parabola at (0,0) on the x-axis

  Axis of Symmetry: x=h
• Standard Form of an Equation of a Parabola at (0,0) on the x-axis

  Directrix: y=-p
• Standard Form of an Equation of a Parabola at (h,k) on the y-axis

  Focus: (h+p,k)
• Standard Form of an Equation of a Parabola at (h,k) on the y-axis

  Opening:

  p<0 or negative = leftward

  p>0 or positive = rightward
• Standard Form of an Equation of a Parabola at (h,k) on the y-axis

  Latus Rectum: (h+p,k+/-2p)
• Standard Form of an Equation of a Parabola at (h,k) on the y-axis

  Axis of Symmetry: y=k
• Standard Form of an Equation of a Parabola at (h,k) on the y-axis

  Directrix: x=h-p
• Standard Form of an Equation of a Parabola at (0,0) on the y-axis

  y^2=4px
• Standard Form of an Equation of a Parabola at (0,0) on the x-axis

  x^2=4py
• Standard Form of an Equation of a Parabola at (h,k) on the y-axis

  (y-k)^2=4p(x-h)
• Standard Form of an Equation of a Parabola at (h,k) on the x-axis

  (x-h)^2=4p(y-k)
• Standard Form of an Equation of a Parabola at (h,k) on the x-axis

  Focus: (h,k+p)
• Standard Form of an Equation of a Parabola at (h,k) on the x-axis

  Opening:

  p<0 or negative = downward

  p>0 or positive = upward
• Standard Form of an Equation of a Parabola at (h,k) on the x-axis

  Latus Rectum: (h+/-2p, k+p)
• Standard Form of an Equation of a Parabola at (h,k) on the x-axis

  Axis of Symmetry: x=h
• Standard Form of an Equation of a Parabola at (h,k) on the x-axis

  Directrix: y=k-p