Question

26 write the coordinate rule for each translation described below. be sure to include the + or - in your answer. translation ( a(3,-5)
ightarrow a^{prime}(8,-2) ) ( (x, y)
ightarrow(x ), ( y ) ) coordinate rule ( b(-8,-4)
ightarrow b /(-10,0) ) ( (x, y)
ightarrow(x ), ( y ) )

Explanation:

Step1: Find the \(x\) - coordinate change for \(A(3,-5)\to A'(8,-2)\)

The change in \(x\) - coordinate: \(8 - 3=5\).

Step2: Find the \(y\) - coordinate change for \(A(3,-5)\to A'(8,-2)\)

The change in \(y\) - coordinate: \(-2-(-5)=-2 + 5 = 3\).

Step3: Find the \(x\) - coordinate change for \(B(-8,-4)\to B'(-10,0)\)

The change in \(x\) - coordinate: \(-10-(-8)=-10 + 8=-2\).

Step4: Find the \(y\) - coordinate change for \(B(-8,-4)\to B'(-10,0)\)

The change in \(y\) - coordinate: \(0-(-4)=0 + 4 = 4\).

Answer:

For \(A(3,-5)\to A'(8,-2)\): \((x,y)\to(x + 5,y+3)\)
For \(B(-8,-4)\to B'(-10,0)\): \((x,y)\to(x-2,y + 4)\)