Algebra 1 Final Exa
nk nk nk
m
ALGEBRA 1A - UNIT 6: EXAM QUESTIONS AND
ANSWERS
whatnkisnkthenkequationnkofnkthenklinenkofnksymmetrynkfornkthenkparabolankrepresentednkbynkthenkequationnkynk=nk−2x^2nk−n
6xnk−nk27?nk-nkanswer--xnk=nk-4
whichnkofnkthenkfollowingnkshowsnkthenkgraphnkofnkthenkequationnkynk=nk1/2(xnk+nk2)^2nk−nk1?nk-nkanswer--https://
assets.learnosity.com/organisations/625/asset/media/966043
thenkgraphnkofnkthenkequationnkynk=nkx^2nk−nkxnk−nk6nkisnkshownnkbelow.nkfornkwhatnkvaluenkornkvaluesnkofnkxnkisnkynk=nk0?nk-
nkanswer--xnk=nk-2nkandnkxnk=nk3
matchnkeachnkparabolankwithnkthenkequationnkitnkrepresents.nk-nkanswer--https://assets.learnosity.com/organisations/
625/asset/media/966055nk:nkynk=nk-(xnk+nk3)^2nk+nk4
https://assets.learnosity.com/organisations/625/asset/media/966053 nk:nkynk=nk(xnk+nk3)^2nk-nk4
https://assets.learnosity.com/organisations/625/asset/media/966057 nk:nkynk=nk(xnk-nk3)^2nk-nk4
https://assets.learnosity.com/organisations/625/asset/media/966056 nk:nkynk=nk-(xnk-nk3)^2nk+nk4
selectnkeachnkequationnkthatnkhasnknonkrealnksolution.nk-nkanswer--x^2nk+nk3xnk+nk6nk=nk0
x^2nk−nk12xnk+nk60nk=nk12
2x^2nk−nk4xnk+nk5nk=nk−3
whatnkarenkthenksolutionsnktonkthenkequationnkx^2nk+nk9xnk+nk12nk=nk6?nk-nkanswer--xnk=nk−9/2nk+nk√57/2;nkxnk=nk−9/2nk−nk√5
thenkheightnkofnkanktrianglenkisnk8nkcentimetersnkgreaternkthannkthreenktimesnkitsnkbase.nkthenkareankofnkthenktrianglenkisnk12
squarenkcentimeters.nkwhatnkisnkthenkbasenkofnkthenktriangle?nk-nkanswer--8nkcm
whichnksituationnkcannkbenkmodelednkbynkthisnkgraph?nk-nkanswer--
ankballnkisnkthrownnkdirectlynkupwardnkfromnkannkinitialnkheightnkofnk7nkfeet,nkwillnkreachnkankmaximumnkheightnkofnk19.3nkfee
innk0.9nkseconds,nkandnkfinallynkwillnkhitnkthenkgroundnkinnk2nkseconds.
whichnkgraphnkcorrectlynkrepresentsnkthenkquadraticnkequationnkynk=nk1.3543x^2nk+nk5.86xnk−nk2.67?nk-nkanswer--https:/
assets.learnosity.com/organisations/625/asset/media/966098
whennkthenkmarshmallownkhitsnkthenkground,nkwhatnkisnkitsnkhorizontalnkdistancenkfromnkthenkpointnkwherenkitnkwasnklaunc
d?nk-nkanswer--16.22nkfeet
solvenkthenksystemnkofnkequations.
{ynk=nkx^2nk+nk2,nkxnk+nkynk=nk4}nk-nkanswer--(1,nk3)nkandnk(−2,nk6)
scottnkwantsnktonksolvenkthenksystemnkofnkequationsnkbelow.nkhenkcalculatesnkthatnkthenkequationsnkintersectnkatnkthenkpoi
snk(0,nk3)nkandnk(−2,nk−5).nkdidnkscottnkfindnkthenkcorrectnksolution?nk-nkanswer--
1nk/
nk2
nk nk nk
m
ALGEBRA 1A - UNIT 6: EXAM QUESTIONS AND
ANSWERS
whatnkisnkthenkequationnkofnkthenklinenkofnksymmetrynkfornkthenkparabolankrepresentednkbynkthenkequationnkynk=nk−2x^2nk−n
6xnk−nk27?nk-nkanswer--xnk=nk-4
whichnkofnkthenkfollowingnkshowsnkthenkgraphnkofnkthenkequationnkynk=nk1/2(xnk+nk2)^2nk−nk1?nk-nkanswer--https://
assets.learnosity.com/organisations/625/asset/media/966043
thenkgraphnkofnkthenkequationnkynk=nkx^2nk−nkxnk−nk6nkisnkshownnkbelow.nkfornkwhatnkvaluenkornkvaluesnkofnkxnkisnkynk=nk0?nk-
nkanswer--xnk=nk-2nkandnkxnk=nk3
matchnkeachnkparabolankwithnkthenkequationnkitnkrepresents.nk-nkanswer--https://assets.learnosity.com/organisations/
625/asset/media/966055nk:nkynk=nk-(xnk+nk3)^2nk+nk4
https://assets.learnosity.com/organisations/625/asset/media/966053 nk:nkynk=nk(xnk+nk3)^2nk-nk4
https://assets.learnosity.com/organisations/625/asset/media/966057 nk:nkynk=nk(xnk-nk3)^2nk-nk4
https://assets.learnosity.com/organisations/625/asset/media/966056 nk:nkynk=nk-(xnk-nk3)^2nk+nk4
selectnkeachnkequationnkthatnkhasnknonkrealnksolution.nk-nkanswer--x^2nk+nk3xnk+nk6nk=nk0
x^2nk−nk12xnk+nk60nk=nk12
2x^2nk−nk4xnk+nk5nk=nk−3
whatnkarenkthenksolutionsnktonkthenkequationnkx^2nk+nk9xnk+nk12nk=nk6?nk-nkanswer--xnk=nk−9/2nk+nk√57/2;nkxnk=nk−9/2nk−nk√5
thenkheightnkofnkanktrianglenkisnk8nkcentimetersnkgreaternkthannkthreenktimesnkitsnkbase.nkthenkareankofnkthenktrianglenkisnk12
squarenkcentimeters.nkwhatnkisnkthenkbasenkofnkthenktriangle?nk-nkanswer--8nkcm
whichnksituationnkcannkbenkmodelednkbynkthisnkgraph?nk-nkanswer--
ankballnkisnkthrownnkdirectlynkupwardnkfromnkannkinitialnkheightnkofnk7nkfeet,nkwillnkreachnkankmaximumnkheightnkofnk19.3nkfee
innk0.9nkseconds,nkandnkfinallynkwillnkhitnkthenkgroundnkinnk2nkseconds.
whichnkgraphnkcorrectlynkrepresentsnkthenkquadraticnkequationnkynk=nk1.3543x^2nk+nk5.86xnk−nk2.67?nk-nkanswer--https:/
assets.learnosity.com/organisations/625/asset/media/966098
whennkthenkmarshmallownkhitsnkthenkground,nkwhatnkisnkitsnkhorizontalnkdistancenkfromnkthenkpointnkwherenkitnkwasnklaunc
d?nk-nkanswer--16.22nkfeet
solvenkthenksystemnkofnkequations.
{ynk=nkx^2nk+nk2,nkxnk+nkynk=nk4}nk-nkanswer--(1,nk3)nkandnk(−2,nk6)
scottnkwantsnktonksolvenkthenksystemnkofnkequationsnkbelow.nkhenkcalculatesnkthatnkthenkequationsnkintersectnkatnkthenkpoi
snk(0,nk3)nkandnk(−2,nk−5).nkdidnkscottnkfindnkthenkcorrectnksolution?nk-nkanswer--
1nk/
nk2
