Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the correct answer. figure 1 has been transformed to produce fig…

Question

select the correct answer.

figure 1 has been transformed to produce figure 2.

which notation describes this transformation?

\\((x, y) = (x + 9, y - 2)\\)
\\((x, y) = (x - 9, y + 2)\\)
\\((x, y) = (-x, y)\\)
\\((x, y) = (-y, x)\\)

Explanation:

Identify corresponding vertices

Using the Geometric Transformations knowledge point

$$ LATEXBLOCK0 $$

Determine the coordinate mapping

Using the Rotations in the Coordinate Plane knowledge point

$$ LATEXBLOCK1 $$

Select the correct transformation notation

Using the Geometric Transformations knowledge point

$$ (x', y') = (x - 9, y + 2) $$

Answer:

  • \((x', y') = (x + 9, y - 2)\)
  • \((x', y') = (x - 9, y + 2)\) (Correct answer)
  • \((x', y') = (-x, y)\)
  • \((x', y') = (-y, x)\)