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:

$A(-2,3)\rightarrow A^{\prime}(3\times-2,3\times3)=A^{\prime}(-6,9)$

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: