Question

What will be the coordinates of vertex N' of the image? (-2, 4) (-2, 6) (-4, 4) (-4, 8)

Answer 1

Answer:

$N'(-2,6)$

Step-by-step explanation:

To Dilate is to enlarge or to shrink a figure. Since the Center of Dilation is the Point P. We'll dilate and add each value of each coordinate.

$Dx=2(x,y) \\P(2,-2)\Rightarrow D_{ P centered}=(2x+2,2y-2)$

$M(-1,-2) \Rightarrow M'=(2(-1)-2,2(-2)+2)= (-4,-2)\\\\N(0,2) \Rightarrow N'= (2(0)-2,2(2)+2) = (-2,6)\\\\P(2,-2) \Rightarrow P'=(2(2)-2,2(-2)+2)=(2,-2)$

Check the pre image and triangle on the graph below.

Answer 2

Option B is correct (-2,6)