Question

match it. in the table, enter coordinates to translate the original shape 5 units to the right and 3 units up. submit

Explanation:

Step1: Determine the translation rule

When translating a point \((x,y)\) \(5\) units to the right and \(3\) units up, the new \(x -\) coordinate is \(x + 5\) and the new \(y -\) coordinate is \(y+3\).

Step2: Calculate new \(x\) and \(y\) for each row

• For the row \((x = 3,y = 1)\):
• New \(x=3 + 5=8\)
• New \(y=1 + 3=4\)
• For the row \((x = 3,y = 2)\):
• New \(x=3 + 5=8\)
• New \(y=2 + 3=5\)
• For the row \((x = 2,y = 2)\):
• New \(x=2 + 5=7\)
• New \(y=2 + 3=5\)
• For the row \((x = 2,y = 4)\):
• New \(x=2 + 5=7\)
• New \(y=4 + 3=7\)
• For the row \((x = 1,y = 4)\):
• New \(x=1 + 5=6\)
• New \(y=4 + 3=7\)

Answer:

\(x\)	\(y\)	new \(x\)	new \(y\)
\(3\)	\(1\)	\(8\)	\(4\)
\(3\)	\(2\)	\(8\)	\(5\)
\(2\)	\(2\)	\(7\)	\(5\)
\(2\)	\(4\)	\(7\)	\(7\)
\(1\)	\(4\)	\(6\)	\(7\)