Write a single algebraic rule for the series of transformations: a reflection about the x-axis, a rotation of 90 degrees clockwise, and a translation of 4 units right and 2 units down.
To a point (x,y), a reflection about the x-axis first does this (x,y) → (x,-y) A rotation of 90 degrees clockwise (x,-y) → (-y,-x) Translating 4 units right and 2 units down (x,-y) → (-y + 4,-x - 2) Therefore your answer is (x,y) → (-y + 4,-x - 2)
