If a figure is dilated by a scale factor of 4, what will be the coordinates of the image of T(-4, 2)? T'(-1, ) T'(-16, 8) T'(-1, 8) T'(-16, )

Question

asked Jul 16, 2020 92.1k views

1 Answer

Chetan Sisodiya · Answer 1 · 2020-07-22T22:29:30+0000

Answer:

The correct choice is
T'(-16,8)

Explanation:

The mapping for a dilation by a scale factor of k is:

$(x,y)\to (kx,ky)$

If a figure is dilated by a scale factor of 4, then k=4.

To find the coordinates of the image of T(-4,2), we substitute x=-4 and y=2 into the rule to obtain:

$T(-4,2)\to T'(4x* -4,4*2)$

$\implies T(-4,2)\to T'(-16,8)$

The correct choice is
T'(-16,8)