Question

1. translation: 1 unit right and 1 unit up

Explanation:

Step1: Find the coordinates of original points

Assume the coordinates of points \(J\), \(T\), \(M\), \(E\) are \(J(-4, -1)\), \(T(0,1)\), \(M(3, -1)\), \(E(-1,-4)\)

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x + 1,y+1)\)

• For point \(J(-4,-1)\): \(x=-4,y = - 1\), after translation \(x'=-4 + 1=-3,y'=-1 + 1=0\), so \(J'(-3,0)\)
• For point \(T(0,1)\): \(x = 0,y=1\), after translation \(x'=0 + 1=1,y'=1 + 1=2\), so \(T'(1,2)\)
• For point \(M(3,-1)\): \(x = 3,y=-1\), after translation \(x'=3+1 = 4,y'=-1 + 1=0\), so \(M'(4,0)\)
• For point \(E(-1,-4)\): \(x=-1,y=-4\), after translation \(x'=-1 + 1=0,y'=-4 + 1=-3\), so \(E'(0,-3)\)

Step3: Plot the new points

Plot the points \(J'(-3,0)\), \(T'(1,2)\), \(M'(4,0)\), \(E'(0,-3)\) and connect them to get the translated figure.

Answer:

The translated figure has vertices \(J'(-3,0)\), \(T'(1,2)\), \(M'(4,0)\), \(E'(0,-3)\)