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Mathematics 20 Online
OpenStudy (jjuden):

What is the turning point of the graph of f(x) = |x| + 4 ?

OpenStudy (jjuden):

(0, 4) (0, –4) (4, 0) (–4, 0)

OpenStudy (mathmale):

Mind explaining in your own words what a "turning point" in a graph is? Also: mind graphing y = |x| as a refresher on what this function does and what its graph looks like?

OpenStudy (anonymous):

(-4,0)

OpenStudy (jjuden):

thank you

OpenStudy (mathmale):

yurigirl: Please explain how you concluded that (-4,0) is the appropriate answer choice. It'd not be mine.

OpenStudy (jjuden):

what would be yours

OpenStudy (mathmale):

. I'm more interested (at this point) in knowing how you arrived at your result. This reasoning is important.

OpenStudy (anonymous):

well if the +4 is out of the lxl then it goes up four which now i realize i said the wrong answer (0,4)

OpenStudy (jjuden):

im so confused

OpenStudy (anonymous):

it's the graph of |x| shifted up 4 units I know that x turns at 0,0 if you shift it up 4 then 0,4

OpenStudy (jjuden):

so the answer is (0,4)

OpenStudy (anonymous):

commit lxl to memory :)

OpenStudy (anonymous):

yes im sorry for my first answer it was a mistake

OpenStudy (mathmale):

Graphing f(x) = |x| + 4 may be easier to understand if we start out by graphing the simpler function f(x) = |x|. jjuden: Have you graphed this f(x) = |x| before? If so, please do that now, using the Draw utility (below), if possible.

OpenStudy (jjuden):

ok thank you guys so much i cant give you all metals can u give them to each other :) @timo86m i finally understand it

OpenStudy (mathmale):

I'd really like to see some closure here. To graph y = |x| + 4, graph y = |x| first, and then move the entire graph 4 units upward. I urge you to do this now for the practice.

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