Question

Which equation matches the graph shown?

(will attach graph and answer choices in a seC!)
please explain. =) thx!

Answer 1

graph

Answer 2

answer choices A,B,C,D top to bottom

Answer 3

turning point

Answer 4

what? :O

Answer 5

do u mean (-3,5) ?? like the vertex part?

Answer 6

TP (h,k)

Answer 7

yes

Answer 8

plug un vertex formular

Answer 9

so whats the formula again?? i forgot

Answer 10

for turning point, \[x=-\frac{ b }{ 2a }\]

Answer 11

oh okay thanks :)
so i get this??
-3=-b/2a
??

Answer 12

\[y=a(x-h)^2+k\]

Answer 13

idk what to plug in.. I'm confused ... @jonask ?? what do i plug in?

Answer 14

then check the answers

Answer 15

(h,k) is (-3,5)

Answer 16

that's the equation with vertex=h

Answer 17

and what do i plug that into??

Answer 18

\[y=a(x-h)^2+k\]

Answer 19

so i get this?
y=a(x-(-3))^2 +5
so y=a(x+3)^2 +5

Answer 20

is that right?? what do i do now?

Answer 21

then plug in the y-intercept

Answer 22

is the y int 9.5 ??

Answer 23

No need, you already got the answer

Answer 24

so (0,9.5)

Answer 25

and what do i do now?

Answer 26

we have toverify a

Answer 27

substitute (0,9.5) into the equation

Answer 28

when x=0, y=9.5, put it into your equation and find a

Answer 29

then you will find a=1/2

Answer 30

y=a(x+3)^2 +5

that's what i got earlier... what do i do??

Answer 31

I would put it in the form your book uses
y-5 = a(x+3)^2

as you can see, all the choices show a= 1/2
It is a "smile" so a is +

Answer 32

just solve 9.5= a( 0 + 3)^2+5

Answer 33

we dont have tofind a

Answer 34

im confused...

Answer 35

\[y-5=a(x+3)^2\]
its a smile a>0 any1 that does notlook like this is out

Answer 36

a=1/2

Answer 37

Right now you know enough to pick the correct answer from y our 4 choices.

Answer 38

\[y-5=1/2(x+3)^2\]

Answer 39

so answer C??? @jonask that is the answer??

Answer 40

yes

Answer 41

awesome!! thank you!! :D