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A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?

A.(x, y) → (x – 3, y + 5)
B.(x, y) → (x – 3, y – 5)
C.(x, y) → (x + 3, y – 5)
D.(x, y) → (x + 3, y + 5)

Respuesta :

That would be A. The original xy coordinates are being moved to the left by three and up 5.

Answer: A. [tex](x,y)\rightarrow\ (x-3,y+5)[/tex]

Step-by-step explanation:

We know that the coordinate notation of translation a point (x,y) by (a,b) is given by :-

[tex](x,y)\rightarrow\ (x+a,y+b)[/tex]

it also can be written as rule:  [tex]T_{a,b}(x, y)[/tex]

Given statement :A triangle on a coordinate plane is translated according to the rule [tex]T_{-3,5}(x, y)[/tex].

Then, the another way to write this rule will be:

[tex](x,y)\rightarrow\ (x+(-3),y+(5))\\\\(x,y)\rightarrow\ (x-3,y+5)[/tex]