SOLUTION: Graph the follwing functions: A) y= -|x-10|+2

Question 155777: Graph the follwing functions:

A) y= -|x-10|+2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Remember, if , then or . So this means that can be broken up into and

Start with the given equation

Replace with (which is the first part)

Distribute the negative.

Combine like terms.

Now graph the equation (note: let me know if you help graphing this)

Graph of

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Go back to the given equation

Replace with (which is the second part)

Distribute the negative

Combine like terms.

Now graph the equation

Graph of

Now graph the two equations together:

Graph of (red) and graph of (green)

Because the sign in front of the absolute value is a negative sign, this tells us that we have to erase the portions of the graph that are above the intersection like this:

Graph of

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Answer:

So the graph of is

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