PrinstonO610546 PrinstonO610546
  • 26-10-2022
  • Mathematics
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EellusFind the composition of transformations that mapABCD to EHGF.Reflect over the y-axis, then translate(x+[?],y+[ .

EellusFind the composition of transformations that mapABCD to EHGFReflect over the yaxis then translatexy class=

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AmeleaH53489 AmeleaH53489
  • 26-10-2022

We can use the point D and F to find the transfprmation:

[tex]\begin{gathered} D=(-1,2),F=(0,3) \\ \text{First transformatio, reflect over the y-axis:} \\ D\to D^{\prime}=(1,2) \\ \text{Translate the point D' to F:} \\ D^{\prime}\to D^{\doubleprime}=(1+a,2+b)=(0,3) \\ 1+a=0\Rightarrow a=-1 \\ 2+b=3\Rightarrow b=1 \\ So,\text{ the translate is:} \\ (x+a,y+b)=(x-1,y+1) \end{gathered}[/tex]

The translate is (x-1, y+1).

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