Question

target c: complete single transformations without a graph. directions: identify the image given the pre - image and the transformation. pre - image transformation image (-4,1) translate 5 down (-1,2) dilate by scale factor 3 (9,-1) rotate 90° counterclockwise (5,-3) reflect over the x - axis

Explanation:

Step1: Translate (-4,1) 5 down

Subtract 5 from y-coordinate: $( -4, 1 - 5 ) = (-4, -4)$

Step2: Dilate (-1,2) by scale 3

Multiply coordinates by 3: $( -1×3, 2×3 ) = (-3, 6)$

Step3: Rotate (9,-1) 90° counterclockwise

Use rule $(x,y)→(-y,x)$: $( -(-1), 9 ) = (1, 9)$

Step4: Reflect (5,-3) over x-axis

Use rule $(x,y)→(x,-y)$: $(5, -(-3)) = (5, 3)$

Answer:

pre-image	Transformation	Image
(-1,2)	Dilate by scale factor 3	(-3, 6)
(9,-1)	Rotate 90° counterclockwise	(1, 9)
(5,-3)	Reflect over the x-axis	(5, 3)