Question

1. Use the figure below to answer the questions. Give the coordinates for the original points and the points after the given transformation is performed on the original coordinate.

Answer 1

G'(-4, -3)

G'(3, 4)

G'(-8, 6)

Explanation:

Coordinates of the original point G on the graph → (-4, 3)

When the point G is reflected over the x-axis,

Rule to be followed fro the reflection,

(x, y) → (x, -y)

By this rule image of the point G will be,

G(-4, 3) → G'(-4, -3)

Rule for the rotation by 90° clockwise,

(x, y) → (y, -x)

G(-4, 3) → G'(3, 4)

Rule for the translation of 4 units left and 3 units up,

(x, y) → [(x - 4), (y + 3)]

G(-4, 3) → [(-4 - 4), (3 + 3)]

→ (-8, 6)