Question

Super confusing graph, please help.

Answer 1

I see no difference other than being translated across the X axis, but that's clearly not an option...

Answer 2

*reflected across the x axis

Answer 3

That is a easy graph

Answer 4

first you have to find a graphing calculator

Answer 5

then you have to put it in the graph

Answer 6

translated across the x axis doesn't really make sense in the context of your question. it makes more sense to say reflected
in a reflection you can 'flip' a figure about a line of reflection.
in a translation you can only move a figure, but you cant flip it

Answer 7

I know you see that +4

Answer 8

what in the world are you confused about

Answer 9

I don't see where the +4 is

Answer 10

That could be the easiest question on earth

Answer 11

perl I corrected myself earlier, thank you though

Answer 12

oh sorry :)

Answer 13

so how do I find where this mysterious +4 is at?

Answer 14

let me graph this

Answer 15

kk ill wait thanks

Answer 16

first flip the graph about the x axis, then translate it up 4 units

Answer 17

nvm you are it said "from" y=2(3)^x

Answer 18

so perl is right flip it and add 4

Answer 19

So D right

Answer 20

It didn't go across the x-axis

Answer 21

https://www.desmos.com/calculator/9kmfdoi1cl

Answer 22

i'm just plain lost now @perl

Answer 23

ok lets do it in steps

Answer 24

do you agree this is reflection about x axis
https://www.desmos.com/calculator/woae5aejqf

Answer 25

Yes

Answer 26

The directions of the question are poorly phrased.
This is what it should say:
"How is the graph of blah blah `transformed` from the graph of blah blah"

Answer 27

not translated

Answer 28

transformations include reflections,translations, rotations, etc, which do not change the shape of the curve or figure

Answer 29

In any case, the steps are :

1. parent function y = 2(3)^x https://www.desmos.com/calculator/jwtdxnbd67

2. reflect about x axis : y = -2(3)^x https://www.desmos.com/calculator/unkedn7ug1

3. now translate it up 4 units : https://www.desmos.com/calculator/7af7p42li9

Answer 30

Okay. I see now. I don't know why that was so difficult for me before. So just to be clear it is D right, up 4 units?

Answer 31

right

Answer 32

thank you so much

Answer 33

The directions of the question are badly written (by the test maker).
This is what it should say:
`How is the graph of y=-2(3)^x + 4 transformed from the graph of y = 2(3)^x`

You can't get that graph simply by translating the parent function, you need a reflection.

Answer 34

so your confusion is warranted

Answer 35

Here is a guide to the type of transformations
http://www.mathsisfun.com/geometry/transformations.html
and translation
http://www.mathsisfun.com/geometry/translation.html

Answer 36

looks like the y-axis to me

Answer 37

actually this is better, since it is relevant to functions
http://www.regentsprep.org/regents/math/algtrig/atp9/funclesson1.htm

Answer 38

that covers the basic type of function transformations, that you will encounter

Answer 39

yea you right