Question

Describe the transformation that maps the pre-image A to the image A'.

A) translated 10 units to left and then 10 units up
B) translated 10 units to right and then 10 units down
C) translated 10 units down and then reflected across the y-axis
D) translated 10 units to right and then reflected across the x-axis

Answer 1

B. Translated 10 units to the right, and 10 units down 

Answer 2

ANSWER

B) translated 10 units to right and then 10 units down



Step-by-step explanation

The top vertex of image A has coordinates (-7,7)


The corresponding vertex of A' is (3,-3).


Let the translation vector be



`\binom{x}{y}`



`\binom{ - 7}{7} + \binom{x}{y} = \binom{3}{ - 3}`


This implies that,


`\binom{x}{y} = \binom{3}{ - 3} - \binom{ - 7}{7}`



`\binom{x}{y} = \binom{3 + 7}{ - 3 - 7}`



`\binom{x}{y} = \binom{10}{ - 10}`

Therefore there has been a translation of 10 units to the right and 10 units down.