Question

The point A will be dilated with a scale factor of 2 about the point (-1, 2).785А4321-2-1O23588-1What are the coordinates of A'?

Answer 1

Given that point A on the graph will be dilated with a scale factor of 2 about the point (-1, 2).

The coordinate of point A is (3, 4)

step 1: Find the vertical and horizontal distance of A(3, 4) from the point (-1, 2)

vertical distance (y) = (4 -2) = 2

horizontal distance (x) = (3 - (-1) ) = 3+ 1 = 4

step 2: multiply the distances by the scale factor 2

`\begin{gathered} \text{vertical distance (y) = 2}*2=4 \\ \text{Horizontal distance (x) =}2*4\text{ = 8} \\ \end{gathered}`

Therefore, the dilated point is:

`(x,y)\to(8,4)`