Question

triangle mnp will be dilated according to the rule ( d_{p,2}(x,y) ), where point p is the center of dilation.
what will be the coordinates of vertex n of the image?
( circ ) (-2, 4)
( circ ) (-2, 6)
( circ ) (-4, 4)
( circ ) (-4, 8)

Explanation:

Step1: Find coordinates of N and P

From graph: \( N(0,2) \), \( P(2,-2) \)

Step2: Calculate vector from P to N

\( (0-2, 2-(-2)) = (-2,4) \)

Step3: Scale vector by factor 2

\( 2×(-2,4) = (-4,8) \)

Step4: Find N' using P + scaled vector

\( (2 + (-4), -2 + 8) = (-2,6) \)

Answer:

B. (-2, 6)