Question

EFGH is translate 5 units to the left and 2 units up.A. E(-1,-3)B. E(6,-6)C. E (-1,1)D. E(9,-3)

Answer 1

To translate the figure 5 units to the left and 2 up, apply the following translation to each coordinate of the figure

`T_((-5,2))\colon(x,y)\rightarrow(x-5,y+2)`

So, you have

`\begin{gathered} E(4,-1)\rightarrow E^(\prime)(4-5,-1+2)\rightarrow E^(\prime)(-1,1) \\ F(0,-3)\rightarrow F^(\prime)(0-5,-3+2)\rightarrow F^(\prime)(-5,-1) \\ G(2,-4)\rightarrow G^(\prime)(2-5,-4+2)\rightarrow G^(\prime)(-3,-2) \\ H(6,-2)\rightarrow H^(\prime)(6-5,-2+2)\rightarrow H^(\prime)(1,0) \end{gathered}`

Therefore, the coordinates of E' are (-1,1) and the correct answer is C. E(-1,1).