Sketching tangent lines

Question

ramennoodle01 · Answer

attachment

3mar · Answer

If I may help?

ramennoodle01 · Answer

Yeah I have no idea what I'm doing

3mar · Answer

Ok 
Step by step.

ramennoodle01 · Answer

So is (-2,-8) my first point?

3mar · Answer

I see that the questions are answered, is that you who answered them?

ramennoodle01 · Answer

Yes

3mar · Answer

So how did you do that and "Yeah I have no idea what I'm doing"??
weird!

3mar · Answer

By the way, all the answers are correct!

ramennoodle01 · Answer

I understood that part but I don't understand how to do the tangent lines.

bonnieisflash1.0 · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @Ramennoodle01
I understood that part but I don't understand how to do the tangent lines.
$\color{#0cbb34}{\text{End of Quote}}$

3mar · Answer

Tangent line means that first derivative of the function you have.

Do you mean you don't know how to draw it?

bonnieisflash1.0 · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @3mar
Tangent line means that first derivative of the function you have.

Do you mean you don't know how to draw it?
$\color{#0cbb34}{\text{End of Quote}}$

bonnieisflash1.0 · Answer

hey @3mar i didn't notice you were here

ramennoodle01 · Answer

I'm not sure how to draw them

3mar · Answer

Well, I am here.

3mar · Answer

It is simple and easy!

ramennoodle01 · Answer

I know it's only supposed to touch the parabola once but I don't know how to find the second point to (-2,-8). I'm just really confused.

3mar · Answer

https://www.desmos.com/calculator/raxoiqeuhi I hope that helps!

3mar · Answer

It is not (-2,-8)  no not at all

It tells you that THE SLOPE OF THE TANGENT LINE IS JUST -8 AT X=-2 $$\huge m_{@x=-2}=-8$$

3mar · Answer

|dw:1478365216498:dw|

Did you get it?