Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. graph & label the images of the sequence of transformations. reflect…

Question

  1. graph & label the images of the sequence of transformations.

reflect rectangle work over the y-axis
translate rectangle work (x,y) -> (x, y+4)

Explanation:

Identify original coordinates

$$ LATEXBLOCK0 $$

Reflect over y-axis

$$ LATEXBLOCK1 $$

Translate vertically

$$ LATEXBLOCK2 $$

Answer:

The coordinates of the images after each transformation are:

Reflected Image \(W'O'R'K'\) (reflected over the \(y\)-axis):

  • \(W' = (-1, 2)\)
  • \(O' = (-5, 2)\)
  • \(R' = (-1, -1)\)
  • \(K' = (-5, -1)\)

**Final Translated Image \(W''O''R''K''\) (translated by \((x, y)
ightarrow (x, y+4)\)):**

  • \(W'' = (-1, 6)\)
  • \(O'' = (-5, 6)\)
  • \(R'' = (-1, 3)\)
  • \(K'' = (-5, 3)\)