Question

For f(x) = x2 and g(x) = (x − 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?
Up 5 units
Down 5 units
Left 5 units
Right 5 units
SOMEONE HELP FAN AND MEDAL

Answer 1

okay so is that x squared

Answer 2

or just 2x

Answer 3

yeah squared

Answer 4

okay

Answer 5

@abb0t @BAdhi @Cookie_2046 @dan815 @e.mccormick @Frostbite @ganeshie8 @Hero @inkyvoyd @jim_thompson5910 @keshaun455 @LunyMoony @mathway @Nnesha @oldrin.bataku @pooja195 @QueenofTamaran @Robert136 @sammixboo @tHe_FiZiCx99 @uybuyvf @Vocaloid @welshfella @xapproachesinfinity

Answer 6

okay, so we have \[x ^{2}\] and \[x ^{2}-10x+25\]

Answer 7

ok so what does that mean?

Answer 8

from your answer choices, how are you going to get the first part to the second

Answer 9

idk, idk how to do this lol

Answer 10

wait, you what would be easier? lol scratch everything i said

Answer 11

so

Answer 12

ok :)

Answer 13

since both expressions are squared, we can square root both of them

Answer 14

you better live it g(x)=(x-5)^2 to see what shift needed

Answer 15

meaning we just have x and x-5

Answer 16

leave*

Answer 17

so, since you are subtracting, you are either going down or to the left

Answer 18

ok

Answer 19

i wouldnt leave it if i were you actually

Answer 20

ok go on please :)

Answer 21

ok let's how you gonna do it

Answer 22

see*

Answer 23

ok

Answer 24

well we already have x and x-5, because we square rooted, and you want him to leave it as squared, thats totally fine and you can help him

Answer 25

that's not a square root? where did you see any square root?

Answer 26

Okay lets consider a function f(x)=x^2 we call it parent function

Answer 27

ok

Answer 28

if we want to move the graph of that function f(x) to right some units away i will use b units here
we just do the following \(f(x-b)=(x-b)^2\) that is b units to the right away ffrom f(x)
let's give this new function a name h(x) so that \(h(x)=f(x-b)=(x-b)^2\)

Answer 29

following ?

Answer 30

now we want to move f(x) to obtain g(x)
look at the g(x) and tell me what do you need to do to move f such that it becomes g

Answer 31

earth to you, hello, are you there?

Answer 32

yes im following

Answer 33

so according to what i just said what can we do to shift f to get g?

Answer 34

just compare what i did with what we have?

Answer 35

i honestly dont know im guessing 5 down or to the left

Answer 36

why down and left in my explanation i have not spelled at all any thing about down or left shifting

Answer 37

i only i explained one thing; that is shift a curve x^2 to right by a b units to get (x-b)^2

Answer 38

so basically to get from f(x)=x^2 to g(x)=(x-5)^2
we need to shift f(x) 5 units to the right

Answer 39

can you just tell me the answer and explain cause you're not helping that well :)

Answer 40

oh thanks

Answer 41

so d?

Answer 42

it is not me who is not helping it is you who don't want to be helped haha

Answer 43

i was deriving you to the answer but you seem not to pay attention

Answer 44

yes it is D

Answer 45

ok thanks can you help on like 4 more???

Answer 46

are u sure?

Answer 47

@xapproachesinfinity

Answer 48

trillion times sure! and no i can't if you don't have much interest to work the problem

Answer 49

no i will i promise @xapproachesinfinity

Answer 50

What is the domain of the following parabola?

u-shaped graph that opens up with a vertex of 2, negative 3
All real numbers
x ≥ 1
x ≤ 2
y ≥ −3

Answer 51

@xapproachesinfinity

Answer 52

help me @xapproachesinfinity

Answer 53

all sort of parabolas have the domain all real number no matter what it is

Answer 54

if we speak about co-domain (range) then the story is different

Answer 55

so its all real numbers im assuming?wait no

Answer 56

if you want the reason
just think is there any number that cause a function of the sort f(x)=ax^2+bx+c does not exist
i mean is there a point where that graph has discontinuity

Answer 57

the answer is no, all real numbers are acceptable in the machine of parabolas

Answer 58

so no all real numbers

Answer 59

im saying all real numbers and you are saying no all real numbers

Answer 60

pay a bit of attention dear :)

Answer 61

ohhh ok it is all real numbers i apologize

Answer 62

no problem

Answer 63

The quadratic functions f(x) and g(x) are described as follows:

f(x) = −8x2 + 7

x g(x)
0 0
1 2
2 6
3 2
4 0


Which of the following statements best compares the maximum value of the 2 functions?

It is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined

can u help on like 3 more? plz @xapproachesinfinity

Answer 64

@xapproachesinfinity

Answer 65

@abb0t @BAdhi @Cookie_2046 @dan815 @e.mccormick @Frostbite @ganeshie8 @Hero @inkyvoyd @jim_thompson5910 @keshaun455 @LunyMoony @mathway @Nnesha @oldrin.bataku @pooja195 @QueenofTamaran @Robert136 @sammixboo @tHe_FiZiCx99 @uybuyvf @Vocaloid @welshfella @xapproachesinfinity

Answer 66

@Sammylemon