Let's begin by listing out the information given to us:
The vertices of the triangle is given as:
[tex](0,0),(0,5),(-4,2)[/tex]Dilation by a scale factor of 2 means the triangle will be enlarged, the coordinate of the vertices become:
[tex]\begin{gathered} (0,0)\rightarrow2(0,0)=(0,0) \\ (0,5)\rightarrow2(0,5)=(0,10) \\ (-4,2)\rightarrow2(-4,2)=(-8,4)_{} \end{gathered}[/tex]We will then graph this