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Use the image to answer the question. A rectangle is labeled upper A upper B upper C is (-5,1) upper D. The area inside of the rectangle is shaded, and each of the vertices is labeled.Jarvis wants to translate rectangle ABDC horizontally by −4 and vertically by +3 to produce rectangle A′B′D′C′. What will be the coordinates of C′ after Jarvis completes this translation?(1 point)(,)

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To find the new coordinates of point C after the translation, we start with the coordinates of C, which is given as \( C(-5, 1) \).

The translation specified is:

  • Horizontally by \(-4\): This means we will subtract 4 from the x-coordinate.
  • Vertically by \(+3\): This means we will add 3 to the y-coordinate.

Now, we apply the translation to the coordinates of point C:

  1. For the x-coordinate: \[ -5 - 4 = -9 \]

  2. For the y-coordinate: \[ 1 + 3 = 4 \]

After performing the translation, the coordinates of point \( C' \) will be \((-9, 4)\).

Therefore, the coordinates of \( C' \) are \((-9, 4)\).