Question

Lisa's teacher wrote the following equations of a translations the board: x' = 2-x and y'= y - 3 wx'hat would be the translation of point K(-3, -1)a. ( 5,-2)b. (-1, -4)c. (-1, -2)d. (5, -4)

Answer 1

d. (5,-4)

Step-by-step explanation:

Given:

x' = 2-x

y'= y - 3

Point K(-3, -1)

Based on the given point K(-3, -1), the values of coordinates are:

x= -3

y= -1

We plug in x = -3 into x' = 2-x. So,

`\begin{gathered} x^(\prime)=2-x \\ ^{}=2-(-3) \\ ^{}=2+3_{} \\ \text{Calculate} \\ x^(\prime)=5 \end{gathered}`

We plug in y = -1 into y'= y - 3.

`\begin{gathered} y^(\prime)=y-3 \\ =-1-3 \\ \text{Calculate} \\ y^(\prime)=-4 \end{gathered}`

Therefore, the translation of point K(-3, -1) is (5,-4).