Question

An image Point has coordinates B'( 7, -4 ). Find the coordinates of its preimage if the translation used was (x + 4, y + 5 ).

B(11,1)
B(3,1)
B(3,-9)
B(11,-9)
Pls help....!!!!thx y'all

Answer 1

(11,1)

Explanation:

Answer 2

Given that the image point has coordinates B'(7,-4).

The coordinates of its preimage if the translation used was
`(x+4,y+5)`

We need to determine the coordinates of the preimage.

The coordinates of the preimage:

The coordinates of the preimage of the point B' can be determined by substituting the points of B' in the translation.

Thus, we get;

`B'(x,y)\rightarrow B(x+4,y+5)`

Substituting the coordinates, we have;

`B'(7,-4) \rightarrow B(7+4,-4+5)`

Simplifying, we get;

`B'(7,-4) \rightarrow B(11,1)`

Therefore, the coordinates of the preimage is B(11,1)

Hence, Option A is the correct answer.