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3 years ago

If the graph of y= |x| is translated so that the point (1, 1) is moved to (4,1), what is the equation of the new graph?

Mathematics

2 answers:

serious [3.7K]3 years ago

5 0

Answer:

$y=|x-3|$

Step-by-step explanation:

The parent absolute function is

$y=|x|$

The graph of y= |x| is translated so that the point (1, 1) is moved to (4,1). It means the rule of translation is

$(x,y)\rightarrow (x+3,y)$

it means the graph of y=|x| translated 3 units right. So, the new vertex of the function is (3,0).

The vertex form of an absolute function is

$y=|x-h|+k$

The new vertex of the function is (3,0). Substitute h=3 and k=0 in the above equation.

$y=|x-3|+0$

$y=|x-3|$

Therefore, the required equation is y=|x-3|.

Inessa05 [86]3 years ago

3 0

Answer:

The new equation is y= (x-3)

Step-by-step explanation: we know that the point (1, 1) is moved to (4,1).

So, the rule of the translation is: $(x,y) -----> (x+3, y)$

that means the translation is 3 units to the right

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sergiy2304 [10]

<h2>Explanation:</h2><h2 />

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