Question

Challenge The vertices of ABC are , , and . ABC is reflected across the y-axis and then reflected across the x-axis to produce the image A''B''C''. Graph and .

Answer 1

The graph shows triangle ABC with vertices as follows;

$\begin{gathered} A=(-5,5) \\ B=(-2,4) \\ C=(-2,3) \end{gathered}$

When translated 6 units to the right, and 7 units down, its becomes,

$\begin{gathered} A^{\prime}=(1,-2) \\ B^{\prime}=(4,-3) \\ C^{\prime}=(4,-4) \end{gathered}$

That means its reflected across the y-axis and the x-axis as follows;

$(x,y)\rightarrow(x+6,y-7)$

After this the translation is complete.