Triangle RST has vertices:
R(-4,2)
S(3,5)
T(-4,-4)
Then, the triangle is moving to the left you subtract the number of units from the x coordinates of each vertex of the triangle.
And the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex. So:
For R'
[tex](-4-3,2-4)=(-7,-2)[/tex]For S'
[tex](3-3,5-4)=(0,1)[/tex]For T'
[tex](-4-3,-4-4)=(-7,-8)[/tex]Answer:
[tex]\begin{gathered} R^{\prime}(-7,-2) \\ S^{\prime}(0,1) \\ T^{\prime}(-7,-8) \end{gathered}[/tex]