Question

what will the coordinates of triangle rst be after it is translated 2 units up and 4 units left?
options:
○ ( r(-1, 4), s(8, 6), t(1, -1) )
○ ( r(-9, 4), s(8, 6), t(-7, -5) )
○ ( r(-1, 0), s(8, 2), t(1, -5) )
○ ( r(-9, 4), s(0, 6), t(-7, -1) )

Explanation:

Step 1: Find original coordinates

From the graph:

• \( R(-5, 2) \)
• \( S(4, 4) \)
• \( T(-3, -3) \)

Step 2: Apply translation rules

Translation: 2 units up (add 2 to \( y \)) and 4 units left (subtract 4 from \( x \)).

For \( R(-5, 2) \):

• New \( x \): \( -5 - 4 = -9 \)
• New \( y \): \( 2 + 2 = 4 \)
• \( R'(-9, 4) \)

For \( S(4, 4) \):

• New \( x \): \( 4 - 4 = 0 \)
• New \( y \): \( 4 + 2 = 6 \)
• \( S'(0, 6) \)

For \( T(-3, -3) \):

• New \( x \): \( -3 - 4 = -7 \)
• New \( y \): \( -3 + 2 = -1 \)
• \( T'(-7, -1) \)

Answer:

D. \( R(-9, 4) \), \( S(0, 6) \), \( T(-7, -1) \)