Question

using the graph below wich graphs shows the mapping of ABCD to A'B'C'D for a dilation with center (0,0) and a scale factor of 3

Answer 1

The rule for a dilation with center at (0,0) and scale factor k is:

`(x,y)\rightarrow(kx,ky)`

Find the transformed vertices A'. B', C' and D' using this rule:

`A(-2,3)\rightarrow A^(\prime)(3*-2,3*3)=A^(\prime)(-6,9)`

Similarly, the coordinates of B', C' and D' wil be:

`\begin{gathered} B^(\prime)(6,12) \\ C^(\prime)(6,-3) \\ D^(\prime)(-9,3) \end{gathered}`

Plot A', B', C' and D' along with A, B, C and D: