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STEM Grade 11
PC Finals
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Cards (24)
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
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