Question

1. what is the image point of (-8,9) after a translation right 3 units and down 1 unit? (x,y)→(x + 3,y - 1) (-8,9)→(-8 + 3,9 - 1)→(-5,8) 2. what is the image point of (0,1) after a translation right 5 units and up 5 units? 3. what is the image point of (1,8) after a translation left 2 units and down 1 unit? 4. what is the image point of (5,2) after a translation left 1 unit and down 2 units?

Explanation:

Step1: Determine translation rule for (0, 1)

For a translation right 5 units and up 5 units, the rule is $(x,y)\to(x + 5,y+5)$.

Step2: Apply rule to point (0, 1)

$(0,1)\to(0 + 5,1+5)=(5,6)$

Step3: Determine translation rule for (1, 8)

For a translation left 2 units and down 1 unit, the rule is $(x,y)\to(x - 2,y - 1)$.

Step4: Apply rule to point (1, 8)

$(1,8)\to(1-2,8 - 1)=(-1,7)$

Step5: Determine translation rule for (5, 2)

For a translation left 1 unit and down 2 units, the rule is $(x,y)\to(x - 1,y - 2)$.

Step6: Apply rule to point (5, 2)

$(5,2)\to(5-1,2 - 2)=(4,0)$

Answer:

1. $(5,6)$
2. $(-1,7)$
3. $(4,0)$