Question

FLUENCY

• If the point A(2,7) was dilated by a factor of 2 with a center at the origin and then translated
by three units left and four units down, its image would be located at which of the following?

A: (1,10)
B:(1,5)
C:(7, 18)
D:(10, 3)

Pleaseee help!!

Answer 1

Answer option A: (1, 10)

Explanation:

With the dilation by a factor of "2" via the origin, the point A goes from:

(2, 7) --> (4, 14)

Then with a shift of three units left it goes:

(4, 14) --> (4 - 3, 14) = ( 1, 14)

Then when shifting it four units down, it goes:

(1, 14) --> (1, 14 - 4) = ( 1, 10)