Question

I'm putting this into my calculator it will graph nut the question asks for the parent function and its graph and to compare them???? MEDAL

Answer 1

parent function ;D

Answer 2

oh sorry the function is y=-In(x+2)

Answer 3

@Nnesha i don't get how you did that

Answer 4

i didn't do anything yt;D

Answer 5

umm okay so how do i do this?

Answer 6

The parent function is the most basic form of a function without any translations or reflections.

Answer 7

The parent function here is y = ln x

Answer 8

What's the difference between y = ln x and y = -ln(x + 2)?

Answer 9

In is - and x is 2 more

Answer 10

Right. So what does that mean in terms of the graphs. That's what they're really asking you. How is the graph different from the one of the parent function

Answer 11

It'll really help you see if you can graph them on the same grid

Answer 12

okay is makes more sense but when i have problems where i have to find the parent function its not y=in x

Answer 13

i can hold on

Answer 14

btw it's ln not in :D
natural log :P :-)

Answer 15

I'm aware and peach it won't accept that in the graph

Answer 16

See one here
http://www.wolframalpha.com/input/?i=ln+x+%3D+-ln%28x%2B2%29

Answer 17

okay not super important but why is it different when you have to find the parent function?

Answer 18

The parent function is always going to be the basic form of a function. Once you know the parent function, you can figure out the graphs of other functions through shifts and reflections. Other common examples of parent functions are\[y=x^2\]\[y=x^3\]\[y=|x|\]\[y=\sqrt{x}\]\[y=\sqrt[3]{x}\]\[y=e^x\]\[y=\sin x\]\[y=\cos x\]

Answer 19

Most times if you look at your equation, one of them will be there

Answer 20

Also, \[y=\frac{ 1 }{x }\]

Answer 21

so for log
it would be y = log x ?

Answer 22

oh okay so i would say what exactly when it comes to the comparing part like as far as shifts

Answer 23

So the negative sign is a reflection. Did it reflect over the x-axis or y?

Answer 24

y i think but I'm not sure :(

Answer 25

no wait i think its x axis

Answer 26

Right, the x-axis. Little trick, if the negative sign is outside the parent function, like it is in this problem, it's a reflection over the x-axis. If it's inside like ln (-x + 2) or ln -(x + 2) that's a reflection over the y-axis

Answer 27

Now for the (x + 2) part. If you look at the graph, the parent function has an asymptote at x=0. The other graph has one at x=-2.

Answer 28

So that's a shift in which direction?

Answer 29

oh thank you that is a life saver! okay soy the function reflects across the x axis annnnd i don't see an asymptote on my graph but if it -2 then its a left shift right

Answer 30

right

Answer 31

oh i see it on yours haha ok so my answer is the function reflects across the x-axis and shifts 2 to the left

Answer 32

yes

Answer 33

thank you so much i get it now you're the best(:

Answer 34

you're welcome