Question

Square ABCD was translated using the rule (x. y) «-4,y + 15) to form A'B'CD. What are the coordinates of point
D in the pre-image if the coordinates of point D' in the image are (9, -8)?
TE
O (13, -23)
(5, 7)
O (18, 1)
O (6,4)

Answer 1

Answer:

$(13,-23)$

Step-by-step explanation:

Given

Translation: $(x,y) -> (x-4,y+15)$

Required

Determine the pre-image of (9,-8)

In (9,8)

$x = 9$ and $y = -8$

So:

$(x,y) -> (x-4,y+15)$

Becomes

$(9,8) ->(x-4,y+15)$

By comparison:

$x - 4 = 9$

$y + 15 = 8$

Solving for (x):

$x - 4 = 9$

$x = 9 + 4$

$x = 13$

Solving for (y):

$y + 15 = -8$

$y = -8 - 15$

$y = -23$

Hence, the pre -image has a coordinate of $(13,-23)$