After a translation is performed on A(-2, 5) to produce A'(3, -1), where would B’ be located after the same translation isperformed on B(1, -4)?A. (-4, 2)B. (-4, -10)C. (6,…

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asked Aug 3, 2023 110k views

1 Answer

Tyronn · Answer 1 · 2023-08-08T05:05:20+0000

The given point is

A(-2,5)

After translation, we get

$A^(\prime)(3,-1)_{}$

Let us consider the translation point as follows:

$A^(\prime)(3,-1)_{}=A^(\prime)(-2+a,5+b)$

It can be written as follows:

$(3,-1)_{}=(-2+a,5+b)$

$3=-2+a\text{ , -1=5+b}$

$3+2=a\text{ , -1-5=b}$

$5=a\text{ , -6=b}$

$a=5\text{ , b}=-6$

The translation of B (1,-4) is

$B^(\prime)(1+a,-4+b)$

Substitute values, we get

$B^(\prime)(1+a,-4+b)=B^(\prime)(1+5,-4-6)$

$=B^(\prime)(6,-10)$

The translation is performed on B(1, -4) to produce

$B^(\prime)(6,-10)$

Option C) is correct.