A point P(5, -4) is mapped unto P¹(-1, 1) by a translation. Find the image of (-4, 5) under the same translation
To find the image of (-4, 5) under the same translation, we first need to find the translation vector that maps P to P¹.
The translation vector can be found by subtracting the coordinates of P from the coordinates of P¹:
Translation vector = P¹ - P = (-1 - 5, 1 - (-4)) = (-6, 5)
Now, we can apply the translation vector to the point (-4, 5) to find its image:
Image of (-4, 5) = (-4, 5) + (-6, 5) = (-4 - 6, 5 + 5) = (-10, 10)
Therefore, the image of (-4, 5) under the same translation is (-10, 10).