Question

3

What is an equation of the image of the line y = -x x-4 after a
dilation of a scale factor of centered at the origin?
3
2
4
3
(1) y=x-4
(3) y =
x-4
(2) y=²x-3
(4) y=-x-3

Answer 1

Firstly, dilations preserve parallelism, meaning that the slope of the image is the same as that of the preimage.

• Eliminate (1) and (2).

Now, since the center of dilation does not lie on the given line, the y-intercept of the image will be the y-intercept of the preimage multiplied by the scale factor.

• So, the y-intercept of the image is (-4)(3/4)=-3.

Therefore, the answer is (4)