Tell weather the graph opens up or down
Identify the vertx
tell if the graph is wider or narrower or the same as the graph of Y =|X|
f(x)=2| x+2| +8

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- chestercat

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- nowhereman

Did you graph it?

- anonymous

lol no idk how

- nowhereman

Just calculate some function values at some points x and connect them.

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- anonymous

i still dk how to do that

- anonymous

can you help me

- nowhereman

Oh well. Then you do it the following way:
1. You draw x- and y-axis orthogonal to each other.
2. make ticks for some multiples of a unit at both axis. So for example at -5, -4, -3, ..., 5. Just how much space you think you will need.
3. For each of those x-values, and maybe some in between you calculate f(x)
4. At the point (x, f(x)) in your coordinate system you make a dot / cross
5. You connect the points from left to right.

- dumbcow

try making a table
x y
-2 ?
0 ?
2 ?
the y values you get by putting the x value into the equation 2|x+2| +8
to get more points add more x-values to the table

- anonymous

so the vertex is -2,8

- dumbcow

yes

- anonymous

and does it open up or down and is it narrow or wider?

- nowhereman

If you can't imagine it, you have to draw it alongside with the function you want to compare it to.

- nowhereman

Of course there is also software that can do it for you. They are called CAS. You could even use WolframAlpha online.

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