Which sequence of transformations produces R’S’T’ from RST? On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
A. a 90degree clockwise rotation about the origin and then a translation 2 units left
B. a 90degree counterclockwise rotation about the origin and then a translation 2
units right
C. a translation 2 units left and then a reflection over the y-axis
D. a translation 2 units right and then a reflection over the x-axis

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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step-by-step explanation: