What is the image of (x,y) after a translation of 3 units left and 7 units down?

Question

asked Sep 28, 2021 148k views

1 Answer

DoRivard · Answer 1 · 2021-10-05T12:43:30+0000

Answer:

(x + 3, y - 7)

Explanation:

Given

Function = (x,y)

Translation:

$Left = 3\ units$

$Down = 7\ units$

Required

Determine the image of the function

Apply the first translation

$Left = 3\ units$

When function (x,y) is 3 units translated left, we add the units to the x value.

The new function becomes:

(x,y) -> (x + 3, y)

Apply the second translation

$Down = 7\ units$

We subtract 7 units from the y value

(x,y) -> (x + 3, y)

becomes:

(x + 3, y) ->(x + 3, y - 7)

Hence:

The image of the function is:

(x + 3, y - 7)