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Parabolas
Contributed by: Texon
Concavity:
y-intercept=
Given that y=x2+x-6 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the turning
point and the negative root.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=x2+3x+2 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the turning
point and the greatest negative root.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=-2x2+5x+3 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the y-intercept
and the positive root.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=x2-4 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the turning
point and the positive root.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=x2-8x+7, do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the turning
point and the y-intercept.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=(x+2)2 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the y-intercept
and the lower root.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=-(x-1)2 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the lowest root
and the y-intercept.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=x2+4x+5 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the y-intercept
and the turning point.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
Concavity:
y-intercept=
Given that y=-x2+4x-6 do the following:
a) Calculate all important points of the parabola.
b) Calculate the equation of the line using the coordinates of the y-intercept
and the turning point.
# of roots=
root #2=
Δ=
root #1=
(
coordinates of turning point:
Equation of the line:
y=
axis of symmetry=
,
x   +
)
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