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QUESTION IMAGE

point c(-3, 1) is translated 3 units left and 3 units up and then dilat…

Question

point c(-3, 1) is translated 3 units left and 3 units up and then dilated by a factor of 1/2 using the origin as the center of dilation. what is the resultant point? a. c(-3,2) b. c(-3/2,3/2) c. c(-3/2,1/2) d. c(-6,4)

Explanation:

Step1: Translate the point

$(-3 - 3,1 + 3)=(-6,4)$

Step2: Dilate the translated point

$(\frac{1}{2}\times(-6),\frac{1}{2}\times4)=(-3,2)$

Answer:

A. $C'(-3,2)$