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what's the parent function of g(x) = log (x + 4)

let me graph it on my calc

(0, 0.60)

example: x^2 is a parent function
(x+2)^2 + 7 is a transformed version of the x^2 parent function

idk

oh okay so it would be a natural log

or just log

I would say that log(x) is the parent of log (x + 4)

that would be the answer for 1?

how would you describe the transformation?

like how it would look on a graph?

yeah if you want, you can compare the parent function y = log(x) to y = log(x+4)

how are those two different? how are they similar?

they both start from a negative y and go up to a positive y moving to a greater number of x value?

|dw:1443229687081:dw|

|dw:1443229706167:dw|

they have the same basic curve shape, yes

like that

the only difference is that log(x+4) is shifted 4 units to the left. You have the correct graphs

you'll follow these same steps for 2 through 4

oay cool i thin i got it can i try doing number 2 by my self

go for it

so number 2 in would be shifter 3 units down and fliped upside down

you actually flip first, then shift 3 units down

parent: x^2
flip over x axis: x^2 -----> -x^2
shift down 3 units: -x^2 -----> -x^2 - 3

oh ok

3 would go from this |dw:1443230322910:dw|
to this

|dw:1443230407412:dw|

3 is this right?
\[\Large \frac{2}{x+5}\]

yup

what is the parent function here

1/x

when we go to 2/x, what happens to the graph?

the ones in the negative x valuves move 2 unites to the left and vice versa

how are you graphing these functions? on paper? or with a graphing calculator?

calc

oh and it will also move down

I'm using desmos if you want to use that
here's the link
https://www.desmos.com/calculator

here are 1/x and 2/x plotted together
https://www.desmos.com/calculator/mgo61oouia

what differences do you see?

it moves half a unit

well stretching is being done here. Vertical stretching by a factor of 2

eg: (1,1) on 1/x turns into (1,2) on 2/x

oh okay i see

for the last one would it ve a vertical flip and shifts 4 units to he right

no, that would be true if it were e^(x-4)

if in doubt, graph to check

oh ookkk

than you so much