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The function rule T–4, 6(x, y) could be used to describe which translation?


a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right

a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left

a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up

Respuesta :

Any translation [tex]T_{(a,b)}(x,y)[/tex], 

is a rule (or a function rule) which takes the x coordinate of a point a units right of x, if a is positive, 

and |a| units left of x, if x is negative.

Similarly y is taken b units up, if b is positive, and b units down, if |b| is negative.



Another possible notation of [tex]T_{(a,b)}(x,y)[/tex]  is T(x, y) →(x+a, y+b).



The function rule [tex]T_{(-4,6)}(x,y)[/tex] shifts any point (x, y) 4 units left, and 6 units up.


thus, this rule can be used to describe:

a trapezoid on a coordinate plane that is translated (shifted) 4 units to the left and 6 units up. 
abidemiokin

A trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

Translation of figure

Translation has to do with the change in position of an object in an xy plane.

For the function rule with the translation T(–4, 6) (x, y)

  • For translation, it is a rule which takes the x coordinate of a point "c" units right of x, if "c" is positive and |a| units left of c, if c is negative.

  • In a similar manner, coordinate y is taken b units up, if b is positive, and b units down, if |b| is negative.

Determine the function rule

Based on the explanation, we can conclude that the function rule T(-4, 6)(x, y)  shifts 4 units left, and 6 units up.

Learn more on translation here: https://brainly.com/question/5123122

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