Question

Can someone please show me how to work this out?
For each of the following quadratic relationships:
Find the transformation of the graph y=x2 (two meant to be square) that have taken place
So, I don't understand the meaning of transformation??

Answer 1

it just means to tell how it changed from the original parent funtion

Answer 2

function*

Answer 3

oh okay

Answer 4

thank you very much

Answer 5

for example: y=x^2 + 2 would be an upward shift of two units

Answer 6

oh yes. What about something like y=(2(x+1)+3

Answer 7

Im mean y=2(x+1)+3

Answer 8

what is the original?

Answer 9

the second one

Answer 10

is it supposed to be \[y=(x+1)^{2}+3\]

Answer 11

oh sorry it is supposed to be y=2(x-1)2+3

Answer 12

alright. What does the plus three do?

Answer 13

it goes up?

Answer 14

how many units?

Answer 15

3

Answer 16

good. how about the -1 inside the parenthesis

Answer 17

it goes down by 1 unit?

Answer 18

no, if it is going to go down, it would be outside the parenthesis like the three

Answer 19

or does it go to the right 5 units ?

Answer 20

sorry I meant right 1 unit?

Answer 21

yes

Answer 22

and what will the two do?

Answer 23

I don't know what it does now

Answer 24

do you multiply them?

Answer 25

You do, but what happens when you multiply x by a number?

Answer 26

we know what happens when we add a number outside parentheses and when we add one inside, how about multiplication?

Answer 27

well if say you are multiplying x by 48 then it would be 48x?

Answer 28

yes, but what happens to the graph of a parabola when you multiply the x^2 term

Answer 29

I don't know

Answer 30

it will make it taller and skinnier, or shorter and fatter

Answer 31

http://www.purplemath.com/modules/fcntrans2.htm look at this page- it might help some!

Answer 32

does it make it shorter and fatter?

Answer 33

okay thank you I will have a look at that. I need to go now but I will be back online

Answer 34

alright

Answer 35

It will be taller and skinnier btw