Question

What are the coordinates of the image of the point (-6,-2) after a dilation by a scale factor of 3 ,followed by a translation over the y-axis?

Answer 1

(18,-6).

Step-by-step explanation:

Given the point: (-6,-2)

On a dilation by a scale factor of 3, we have:

`\mleft(-6,-2\mright)\to\mleft(-6*3,-2*3\mright)=(-18,-6)`

Next, on translation over the y-axis, the y-value remains while the x-value changes its sign:

`(-18,-6)\to(18,-6)`

Thus, the coordinates of the image of the point (-6,-2) after the given transformations is (18, -6).