Taking the parabola "y" = "x"2 , a horizontal translation 5 units to the right would be represented by "T"(("x","y")) = ("x" + 5, "y"). Now we must connect this transformation notation to an algebraic notation. Consider the point ("a"."b") on the original parabola that moves to point ("c","d") on the translated parabola. According to our translation, "c" = "a" + 5 and "d" = "b". The point on the original parabola was "b" = "a"2. Our new point can be described by relating "d" and "c" in the same equation. "b" = "d" and "a" = "c"  − 5.