Question

Shifting functions vertically and horizontally

Answer 1

@jtryon

Answer 2

you are shifting to the left 3 units

Answer 3

yes so it will be (x+3)^2?

Answer 4

i got it wrong @jtryon

Answer 5

what did you put?

Answer 6

i asked you (x+3)^2 and you just left so i just put this @jtryon

Answer 7

that should be correct... is that the right graph?

Answer 8

yup for sure

Answer 9

oh, wait... I see something

Answer 10

i got (x+2)^2+1

Answer 11

yes, it is shifted vertically by 1

Answer 12

it is i mean

Answer 13

so it is not only shifted to the left but also up

Answer 14

I was looking at your old graph

Answer 15

which one?

Answer 16

the one that was just shifted to the left

Answer 17

I didn't see that it was also shifted up

Answer 18

o

Answer 19

do you have any more?

Answer 20

yea

Answer 21

ill put on please wait

Answer 22

ill tell you when it is ready

Answer 23

V units left and C unit up.

This makes \[g(x)=x^2\]into\[g(x)=(x+V)^2+C\]

Answer 24

@jtryon

Answer 25

so before I give you answer, do you see the two shifts, one horizontally and one vertically?

Answer 26

yes @jtryon

Answer 27

which way is it shifting?

Answer 28

up four units and right three units

Answer 29

ok, that is great and how do you write that?

Answer 30

(x+4)^2-3?

Answer 31

not quite

Answer 32

so it would be (x-3)^2 + 4

Answer 33

horizontal shift happens inside the () and on the outside is the vertical shift

Answer 34

does that make sense now?

Answer 35

so you have to put the right three units in parenthesis

Answer 36

correct

Answer 37

it is either going to shift left or right and/or up and down

Answer 38

shouldn't you have to put it outside the parenthesis?

Answer 39

I am actually doing the same kind of problems in class :)

Answer 40

o

Answer 41

if it is outside the parenthesis, that is a vertical shift

Answer 42

that takes care of the up and down shifting

Answer 43

i got an other one can i show you?

Answer 44

@jtryon

Answer 45

@jtryon

Answer 46

@jtryon

Answer 47

ok, I am looking now

Answer 48

what do you see from this one?

Answer 49

it is shifted down three units and left two units

Answer 50

OK, how do we write that one?

Answer 51

(x+2)^2-3?

Answer 52

you got it :)

Answer 53

I think you have got the hang of this

Answer 54

you sure because i can't miss no more in my quiz if i get it wrong i have to do a quiz again

Answer 55

we can do a couple more

Answer 56

is it correct then?

Answer 57

this one is correct

Answer 58

the

Answer 59

(x+2)^2-3?

Answer 60

yes

Answer 61

@jtryon

Answer 62

@SolomonZelman

Answer 63

what is happening in the function?

Answer 64

it is 1 left and 4 right i think

Answer 65

no try again

Answer 66

this one is tricky

Answer 67

think about the horizontal shift first

Answer 68

3? @jtryon

Answer 69

no, count the shift

Answer 70

4?

Answer 71

there you go

Answer 72

and the vertical one?

Answer 73

ok and the verticle is 1?

Answer 74

yes

Answer 75

so what is the answer?

Answer 76

i have to go would you still be on in about 2 hours?

Answer 77

I should still be here

Answer 78

(x-4)^2+1 and ok great

Answer 79

tag my name and I will see it

Answer 80

put an @ sign in front of my name

Answer 81

is (x-4)^2+1 correct? @jtryon

Answer 82

correct