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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'?

The Point A Will Be Dilated With A Scale Factor Of 2 About The Point 1 2785А432121O235881What Are The Coordinates Of A class=
The Point A Will Be Dilated With A Scale Factor Of 2 About The Point 1 2785А432121O235881What Are The Coordinates Of A class=

Sagot :

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

[tex]\begin{gathered} \text{vertical distance (y) = 2}\times2=4 \\ \text{Horizontal distance (x) =}2\times4\text{ = 8} \\ \end{gathered}[/tex]

Therefore, the dilated point is:

[tex](x,y)\to(8,4)[/tex]