1 m7 parabolas intro
parbola
from the equation
y= ax2+bx + c

or

y=x2
TERMS TO KNOW
vertex
line of symmetry
roots,zeros
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
hi/lo point of parabola
vertex
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
line of symmetry

same on both sidesmirrorgoes thru vertex
line of symmetry
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
zero--root--> x-intercepts-->y=0
zero
zero
may have none
                one
                two
(x,0)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
parabola
curved line graph- 
comes from the equation--y=x2

opens  UP if coefficientof x2 is positive
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
parabola -opens DOWN if coefficient of x2 
is negative
zero
vertex
zero
line of symmetry
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
vertex
the lowest or highest point 
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
line of symmetry
same on both sides
x=0
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
zeros
roots
place where parabola crosses the x-axis
or x-intercepts
y=0
zeros
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
line of 
symmetry--
mirror
x=
zero=(
,
)
vertex=(
zero=(
,
)
,
)
parabola opens down
because coeffiecient of x2 is negative
y= -1x2-3x-3
vertex
y= -1x2-3x-3
(-3,0)
parabola opens down
zero
zero
(-1,0)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
y= -1x2-3x-3
x=-2
line of 
symmetry

or 

mirror
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