proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
Translation by h (right) and k (up) g(x)=f(x-h)+k =f(x-4)^2+2 so h=4, k=2 horizontal translation (to the right) is h=+4, but is shown as -4 for the translation value.