Question

If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), then what is the image of the point (0, 0)?

(4, 5)
(-1, -3)
(1, 3)

Answer 1

Best Answer: first part:

(1, 3)

(3, 7)

(x+1, y+3)

second part:

the answers you have are wrong.

transformation goes over 1, up 3

Answer 2

Answer:  The correct option is (C) (1, 3).

Step-by-step explanation:  Given that a translation maps point (3, 2) to (4, 5) or T: (3, 2) ⇒ (4, 5).

We are to find the image of the point (0, 0).

Let us consider that the point (3, 2) be translated by (x, y) to reach the point (4, 5).

So, we must have

$(3+x,2+y)=(4,5)\\\\\Rightarrow 3+x=4,~~~~~~~2+y=5\\\\\Rightarrow x=4-3,~~~~~~\Rightarrow y=5-2\\\\\Rightarrow x=1,~~~~~~~~~~~\Rightarrow y=3.$

That is, (x, y) = (1, 3).

Therefore, the image of the point (0, 0) will be

$(0+x,0+y)=(0+1,0+3)=(1,3).$

Thus, the required image of the point (0, 0) is (1, 3).

Option (C) is CORRECT.