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gtnhenbr [62]
2 years ago
11

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]2 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]2 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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