Answer:
The image point of P(7,-7) after a translation of 3 right and 1 down followed by a reflection over the x-axis will be:
Step-by-step explanation:
Given the point
(7, -7)
Translation of 3 right and 1 down means we need to add 3 units to the x-coordinate and subtract 1 unit from the y-coordinate
Therefore, the translation rule:
(x, y) → (x+3, y-1)
In our case, let the point P(7, -7)
P(7, -7) → P'(7+3, -7-1) → P'(10, -8)
FOLLOWED BY A reflection over the x-axis
We know that the rule of reflection over the x-axis implies that
(x y) → (x, -y)
i.e. the x-coordinate of the point remains the same, but the y-coordinate changes its sign.
After the first transformation, we had got P'(10, -8)
so
P'(10, -8) → P''(10, -(-8)) → P''(10, 8)
Therefore, the image point of P(7,-7) after a translation of 3 right and 1 down followed by a reflection over the x-axis will be:
