Exponential growth n decay

[lament tulip]

I need help figuring out transformations

[lament tulip]

Someone please help me

[rose basin]

Do you know what it means by all of the transofrmations?

[lament tulip]

I do know

But I’m taking a test that I was supposed to take months ago

[lament tulip]

So in a way I know what transformations are (which is why i knew it was concave up or down) but don’t know their names or how to find them

@rose basin

[rose basin]

what class is this for?

that might help

[lament tulip]

Math 2

[rose basin]

Ahh now I understand

[noble sage]

catman

catman

[lament tulip]

Mmm

@rose basin

I figured it out

I do have 1 problem I do not know how to do

Do you think you could help me figure it out?

[rose basin]

I mean post it here

[lament tulip]

#7

How would I write the equation? I know the formula but I don’t know how to receive the information from the graph

I’m clueless

[rose basin]

So look at the vertex of the graph, the translation from the origin (0,0) is your
b and c in $y=a(x+b)^2+c

then your scale value a is how much it increases by one step from the vertex

[lament tulip]

So in the equation what would that be?

In a equation

[rose basin]

I won't give you the answer

I will help you work it out

[lament tulip]

Alright

[rose basin]

and walk you through the process

[lament tulip]

Okay okay

I know the vertex is

(-5, 6)

right

?

[rose basin]

yes

[lament tulip]

So from there i got my vertex so

[rose basin]

so now you can determine you b and c vlaues in your formnula
$y=a(x+b)^2+c$

[noble sage]

catman

[rose basin]

c is the shift up and down

[lament tulip]

Right but how?

Ohh

[rose basin]

where b is the shift left or right

[lament tulip]

C is shifted down by

4

so would c be -4?

since it’s like down

[rose basin]

Also I did an oopsie it should be (6,-5) point pairs are alsway (x,y)

[lament tulip]

Ohhh

Ahh okok

So since it’s down by 5 points

C would be -5 right?

[rose basin]

that is correct

now for b

[lament tulip]

it would be

x+6

[rose basin]

close

[lament tulip]

right?

x-5?

[rose basin]

no -5 is your up and down shift

[lament tulip]

ah

[rose basin]

6 is how much you have to shift left or right

but in which direction

[lament tulip]

left

x-6

[rose basin]

there you go

so thats your b and c

[lament tulip]

now for a

[rose basin]

now for a

[lament tulip]

that’s the axis of symmetry right?

im out in 2 minutes btw

[rose basin]

no

a is your scaling

[lament tulip]

which would be what

[rose basin]

recall a plain x^2 graph

[lament tulip]

fuck dude i’m out i. a minute

i think i’ll js turn it in like this

im s tu vi

[rose basin]

you have points at (0,0) (1,1) (2,4)

[lament tulip]

stuck

[rose basin]

a=2

[lament tulip]

thwnk u

tysm

[rose basin]

you owe me actually learning that part though >:(

[lament tulip]

here i’m waking out but explain it to me either way

would a be the amount that it’s stretched from the vertex?

[rose basin]

yes

[lament tulip]

I thought it was

but second guess e myself

thank you for helping

[rose basin]

alright

make sure to close the thread

"!solved" (i think)

[lament tulip]

!solved

[rose basin]

sorry its a . not a !

:p

[lament tulip]

.solved