Question

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, )

Answer 1

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)`