![]() ![]() In horizontal translation, each point on the graph moves \(k\) units horizontally and the graph is said to be translated \(k\) units horizontally. In vertical translation, each point on the graph moves \(k\) units vertically and the graph is said to be translated \(k\) units vertically. What is the difference between horizontal and vertical translation? The formula for translation or the translation equation is \(g(x) = f(x \pm k) C\). It is also known as the movement/shifting of the graph along the x-axis. Horizontal translation refers to the movement of the graph of a function to the left or right by a certain number of units. How do you translate a function horizontally? Hence, it is shifted toward the opposite direction of the desired translation. This concept can be understood by analyzing the fact that the horizontal shift in the graph is done to restore the graph's base back to the same origin.
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