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USING THE TI - INSPIRE CAS CX - QUADRATIC ALGEBRA
THE FOLLOWING PROCESSES ARE ACCESSED WHEN THE CALCULATOR IS INCALCULATOR MODE.
GOTO THE HOME SCREEN THE MENU BUTTON
SELECT CALCULATE IS USED A LOT
PURPOSE BUTTON SEQUENCE EXAMPLE
DEFINE
Used to store afunt!on !n t"e#e#or$ t"at an%e rea&&ed and'or(ed '!t". Ita)o!ds enter!n* t"e
sa#e funt!on &otsof t!#es.
#enu + ,- At!ons + ,- Def!ne
T$e !n t"e funt!on us!n* t"e (e$%oard
T$e- 23 6 x − tr& + sto → y
To f!nd t"e ans'er t$e !n | 4 y x =
T"e tr& / %uttons *!)es t"e o##and 0
Def!ne 2( ) 3 6= −h x x
T$!n* !n (4)h *!)es an ans'er of 12 as2(4) 3(4) 6 48 6 42= − = − =h
Find the value of y for23 6 y x= −
where 4 x =
Answer: 42
Clear a - z
Used to &ear an$stored funt!ons'"!" an %e anu!sane !n &ater
a&u&at!ons.
#enu + ,- At!ons + 1- C&ear a + 3
TI CAS sreens !"A#$ATIC A%&'$A A# &$A*+I& ,*-I *A&' .
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Clear Histor
T"!s &ears a&&re)!ous set!onsof t"e sreen +'!es t"e '"o&e &ot
&ean.
#enu + ,- At!ons + 4- C&ear H!stor$
Sol!e
Used to so&)ee5uat!ons !n e6ator aro6!#atefor#.
#enu + 7- A&*e%ra + ,-So&)e
T$e !n t"e e5uat!on t"en o##a t"ent"e )ar!a%&e8 !n t"!s ase x ... t"e CASneeds to %e to&d '"at )ar!a%&e to so&)efor 999
Use tr& + enter to e6ress asaro6!#ate de!#a& ans'er.
So&)e 23 6 /− = x *!)!n* e6at so&ut!ons.
So&)e 23 6 /− = x *!)!n* aro6!#ate
:de!#a&; so&ut!ons.
Fa"tor
Used to e6resso&$no#!a&s !nfator!sed for#.
#enu + 7-A&*e%ra + 2-Fator
T$e !n t"e funt!on us!n* t"e (e$%oard
Fator!se 23 6+ x x
E#$a%&Used to e6and%ra(ets or#u&t!&$ %ra(etsout.
#enu + 7-A&*e%ra + 7-E6and E6and( 3)(2 0)− + x x
#-i%ter"e$ts
Used to f!nd t"e 6+
!nterets of an$funt!on
#enu + 7-A&*e%ra + 1-<eros
T$e !n t"e funt!on t"en o##a t"en t"e)ar!a%&e8 !n t"!s ase x ... t"e CAS needs
to %e to&d '"at funt!on to f!nd t"e 3erosfor 999
F!nd t"e 6+!nterets of t"e funt!on2( ) 3 .2= − f x x
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Co'$lete t(e
S)*are
Used to e6ress5uadrat!s !nTURNING POINT
FORMto f!nd t"e turn!n*o!nt of a
5uadrat!.
#enu + 7-A&*e%ra + 4- Co#&ete t"eS5uare
F!nd t"e turn!n* o!nt of t"e 5uadrat!2 2 ..− − x x %$ o#&et!n* t"e s5uare.
T"e oord!nates are :,8 +,2;
Si'*lta%eo*s
E)*atio%s
Used to f!nd t"eo!nt or o!nts'"ere ur)esross.
#enu + 7-A&*e%ra + =- So&)e S$ste#s ofE5uat!ons + ,-So&)e S$ste# of E5uat!ons
Fo&&o' t"e ro#ts to *!)e t"e nu#%er ofe5uat!ons + !n t"!s ase 2
and t"e )ar!a%&es used !n t"e e5uat!ons +!n t"!s ase 6 and $.
T"e e5uat!ons need to %e enteredread!n*8 $ / !n ea" ase.
T"e so&ut!ons are-
( 0 .)= − − x and 2( 0 .)= − − y
0 .= + x and 2( 0 .)= + y
So&)e t"e e5uat!ons- 24= − y x and 2= y x
s!#u&taneous&$.
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PURPOSE INSTRUCTIONS + BUTTON
SEQUENCE
EXAMPLE
Setti%, t(e
"al"*lator
i%to
&oto +1' sreen and selet &$A*+
ion
Drai%, a
,ra$(
The otto of the sreen shows
f 3(x)= ( this the sae as y 5 )
T7e2
3( ) 4 8 f x x x= − − in the otto of the sreen
*ress enter when finished
The 9ra7h of the 7araola is shown ut
verte (turnin9 7oint) of the 9ra7h an;t
e seen
The default sreen is x fro <./ to ./
and y fro 66= to <66=
To see the verte the window si>e needs
to e han9ed
Example: Show the 9ra7h of 2
4 8 y x x= − − on the CAS
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Gra"!n* Para%o&as on t"e TI+ns!re C> CAS
GRAPHING
MODE
read on to see how
the viewin9
window an ehan9ed
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Setti%, t(e
!iei%,
i%&o size
.ie "(a%,i%,
t(e s"ale o%
t(e a#es/.T"!s !s done'"en t"e
)a&ues on t"edefau&t a6esare notsu!ta%&e for
t"e *ra"%e!n* dra'n.
enu ? 4:@indow-oo ? .: @indow
settin9s
"se the ta utton to Bu7 etween eah
settin9
The viewin9 window still
needs i7rovin9 as the
verte (turnin9 7oint) still
an;t e seen
T7e in new ais values for the viewin9window DThis may need to be done
more than once to show the best/most
useful graphE
enu ? 4:@indow-oo ? .: @indow
settin9s
"se the ta utton to Bu7 etween eah
settin9
This viewin9 window is the
est one as the whole
9ra7h inludin9 the verte
(turnin9 7oint) an now e
seen
To 9et a etter view of the 9ra7h hoose the
followin9 window settin9s
Gin 5 <8
Ga 5 .2Gsale 5
Auto
Hin 5
<./
Ha 5 0
Hsale 5
Auto
Tr the followin9 window settin9s to
i7rove the view of the 7araola
Gin 5 <8
Ga 5 .2
Gsale 5
Auto
Hin 5 <.0
Ha 5 0
Hsale 5
Auto
F!nd!n* t"e
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ta
ta
Fi%&i%, s$e"ial $oi%ts o% a ,ra$(
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oord!natesof t"e # -a#is
i%ter"e$ts
:'"en $ / ? ;
enu ? 6: Analse 9ra7h ? .:ero <
'nter
The first of two sreens show
"se the to hoose a 7oint to the
lower (left) and u77er (ri9ht) side of
the <intere7t 7ressin9 enter eahtie
1ne the word zero shows on the
sreen near the verte 7ress enter
The oordinates of the <intere7t will
a77ear
The first of two sreens show
"se the to hoose a 7oint to the
lower (left) and u77er (ri9ht) side of
the <intere7t 7ressin9 enter eahtie
1ne the word zero shows on the
sreen near the verte 7ress enter
The oordinates of the <intere7t
will a77ear
Example: "se the CAS to find the x<intere7ts of
the 9ra7h of2 4 8 y x x= − −
The lower x<intere7t is shown as (<.46/)
The u77er x<intere7t is (046/)
F!nd!n* t"eenu ? 6:Analse 9ra7h ? Example: Find the oordinates of the turnin9 7oint
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oord!natesof t"e
TURNING
POINT or
0ERTEXa; Mi%i'*'
for aara%o&a oft"e t$e
2 y x= +
:as t"eara%o&a !s
r!*"t'a$ ut"en t"eturn!n*o!nt #ust%e a#!n!#u#;
%;
Ma#i'*'
for aara%o&a oft"e t$e
2 y x= −
:as t"e
ara%o&a !sus!dedo'n t"ent"e turn!n*o!nt #ust%e a#a6!#u#;
2:iniu
The first of two sreens show
"se the to hoose a 7oint to the
lower (left) and u77er (ri9ht) side of
the turnin9 7oint 7ressin9 enter eah
tie
1ne the word minimum shows on
the sreen near the verte 7ress enter
The oordinates of the verte will
a77ear
enu ? 6:Analse 9ra7h ?
3:aiu
The first of two sreens show
"se the to hoose a 7oint to the
lower (left) and u77er (ri9ht) side of
the turnin9 7oint 7ressin9 enter eah
tie
1ne the word minimum shows on
the sreen near the verte 7ress enter
The oordinates of the verte will
a77ear
for2 4 8 y x x= − −
The oordinates of the verte are: (2<.2)
Example: Find the oordinates of the turnin9 7oint
for
2
4 8 y x x= − − +
The oordinates of the verte are: (<2.2)
TI CAS sreens !"A#$ATIC A%&'$A A# &$A*+I& ,*-I *A&' =
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