PLEASE HELP ITS TIMED Which graph represents the

Ответ:

juandavidklingera553

01.11.2020

Solution :-

Given equⁿ to us is : y = | x - 2 | + 1 .

So , let's check on which point it will cut the y - axis .

We know that on y - axis x co - ordinate is 0 .

So , put x = 0 in the above equation .

$\tt:\implies y = | x - 2 | + 1$

$\tt:\implies y = | 0 - 2| + 1$

$\tt:\implies y = | -2 | + 1$

$\tt:\implies y = 2 + 1$

$\underline{\boxed{\bf{\red \longmapsto y = 3 }}}$

Hence we can see that it will cut y - axis on ( 0 , 3 ).

Now , we can eliminate options a and c .

So , here now lets try to find another coordinate .

From the remaining two options , left co - ordinates are

( 2 , 1 ) ( 1 , 2 ) .

$\green{\sf In \:the \:equation\: put \:( 2 , 1 ) \:to \:check .\:}$

$\tt:\implies y = | x - 2 | + 1$

$\tt:\implies 1 = | 2 - 2 | + 1$

$\tt:\implies 1 = 0 + 1$

$\underline{\boxed{\bf{\red \longmapsto 1 = 1 }}}$

$\tt Hence\: , \:other\: coordinate\: is\: ( 2 , 1 ).$

$\boxed{\green{\bf\dag Hence\: correct\:graph\:is\:option\:[b].}}$

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