Question

May I please help help with this. I tried many times but still couldn’t get the right answers I’m also confused as to how I should graph them

Answer 1

To find the image of the triangle, it is enough to determine the image of the vertices of the triangle after the given transformations.

Recall that a translation of 2 units to the right modifies the point (x,y) as follows:

$(x,y)\rightarrow(x+2,y).$

A translation of 3 units up, modifies the points (x,y) as follows:

$(x,y)\rightarrow(x,y+3).$

From the diagram, we get that the vertices of the triangle are:

$(4,0),(2,-4),\text{ and (-2,-2).}$

Therefore, their images after the given transformations are:

$\begin{gathered} (4,0)\rightarrow(6,3), \\ (2,-4)\rightarrow(4,-1), \\ (-2,-2)\rightarrow(0,1)\text{.} \end{gathered}$

Answer: