Question

Vertical and horizontal translations quick check

Answer 1

Vertical translation: shifting a graph vertically up or down without changing its shape. This can be achieved by adding or subtracting a constant from the function.

For example, if the original function is f(x), then a vertical translation by adding a constant "c" would result in f(x) + c, which will shift the graph "c" units up. Similarly, subtracting a constant "c" would result in f(x) - c, shifting the graph "c" units down.

Horizontal translation: shifting a graph horizontally left or right without changing its shape. This can be achieved by replacing x in the function with (x - h), where "h" is the amount of translation.

For example, if the original function is f(x), then a horizontal translation by "h" units to the right would result in f(x - h), and a horizontal translation by "h" units to the left would result in f(x + h).

In summary, vertical translations shift the graph up or down, while horizontal translations shift the graph left or right.