Question

Write an equation for each of these transformation.

A. Translate the graph of y = x^2 right 3 units.

B. Translate the graph of y = |x| left 5 units.

Answer 1

f(x - n) - translate the graph f(x) right n units

f(x + n) - translate the graph f(x) left n units

f(x) - n - translate the graph f(x) down n units

f(x) + n - translate the graph f(x) up n units

A) Translate the graph of y = x² right 3 units.

Answer: f(x - 3) = (x - 3)²

B) Translate the graph of y = |x| left 5 units.

Answer: f(x + 5) = |x + 5|