Name°
Period°
Date°
h3o 5
Unit 9, Day 5: ÿdentifying ROXS and Vertex of a Parabema
×
Y
Vertex" (1 ÿ .
-2
5
0
•
-1
0
1
2
3
4
..
.
-3
-4
Roots,
-3
.... 6 ..... 5 .... 4 .... 3 ..... 2
........................
0
0
5
......
•
. ..... , .
•
..!.., .... i .... i...: ...... 4
•
.
.
X
ExaÿpJes:
y- X2- 10x + 25
f(x) = -x2 + 6x- 5
:ÿ::: i:i :i! :7: i !::i: :!ÿ
×
f(×)
0
-5
1
2
3
4
0
3
4
3
5
i:.:.;:::i::.:::::.i::::::::::.!.:::::::::i::::2.
<
!i
iili,
o pÿ
6
-5
V
2
3
4
5
6
7
8
9
4
1
0
1
4
9
Axis of Sym°
Axis of Sym°
g(x) - x2 + 2x- 3
h(x) = xz - 4x
×
g(×)
-4
5
-3
0
ÿ
-1
-4 SJ
1
2
0
5
Vertex: (ÿ l
..... <i.4:..i :4:i:.:i ...... :.ÿ0
i : : i.: : i..Z.i : : i..: ..... L.L.io.
h(×)
x
-3
-3
..ÿiÿ',
ÿÿ,-..[...-2
ÿi .......
i
"-10 .... 8..!...-.6 ......
-2
-2
0
:....P.:::.;.::i:::.i...:]:::::i::::.iÿ:
Vertex" <5ÿ@
Roots°
Vertex° ÿ14}
3>
x
5
-1
0
1
2
3
4
x-interceptso
Vertex° {ÿÿ
J
Axis of Symo
Axis of Sym°
;pO)
o
-S
Solutions:
"iTT,'ÿ, "iTi] >
....
U
Practice:
f(x) = x2- 8x + 7
y - -x2- 6x - 9
J
i.-..T....F....F...F..T...-F...T..T..tO..
;""-ÿ-:--:-<-ÿ---::--y:l ).
×
fix}
x
y
1
o
-6
-9
2
-5
-5
-4
3
-8
-4
-1
4
-9
-3
o
5
-8
-2
-1
6
-5
-1
-4
0
-9
7
i-d-.i-, i-d-----i.--!..i - L.°2
0 ÿ
Roots"
Vertex" /ÿ41
i
i i i iii iiÿ.
...!....Z..!...4....!...S ....... 8....!...ti3-
:ki :i: il]i i .: i lÿ:ÿ ., 4
Vertex"
Axis ofsym o
g(x) = -x2- 2x
×
g(×)
×
-5
-:$5
-5
-4
-8
-4
-3
-3
-3
-2
0
-2
-1
1
-1
0
0
1
-3
0
1
h(×}
Vertex:
Vertex: ÿÿtÿ !
Axis of Sym°
Axis of Symÿ ÿ
7 = -x2 + 8x- 15
f(x) = -x2 - 4x + 5
×
0
-4
5
:::!
iÿi !
1
:!i![
•.:4.
i
: 10......-8...i...-.I
-3
8
-2
9 V
-1
8
6
5
0
-8
0
1
..... -....-ÿ.----ÿ--.-.:.....ÿ...--ÿ..---ÿ.....,--.t.81
'TTI .....
ii!'
fix)
-5
Solutions"
"i---i-'Pi i'" i
- ! ----i- i'"-i '"k'-i
.... ½....i...ÿ .... !.i ,..i Lÿ .ÿb >
-..2-.
--4i....-'...-i.-..i-..: ....:.....i .......... ,i ..... -..i.--...V-i ......... ' .......... ÿ.-..ÿ--.,.--ÿ
1-0-
x
Y
1
2
3
4
5
6
7
-8
i:::::i::::i:: :i: :i: :::i::::: :::!::::i: !4:
-3
0
1
0
i:..-b...i...-.&..i....-.Li...-.i i .....
i---..i.-d-....i..--ÿ-!...-.i.-d---.!, i--2,
============================================== !4:
-3
-8
Zeros: ÿ,0ÿ
Axis of Sym°