Graphing Standard Function & Transformations

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Created by UASP Student Success Centers | 480-965-9072 Graphing Standard Function & Transformations A few Standard graphs f(x) = x f(x) = x2 f(x) = 1 x f(x) = x1/2 f(x) = x3 f(x) = x Created by UASP Student Success Centers | 480-965-9072 Graphing Standard Function & Transformations The rules below take these Standard plots and shift them horizontally/ vertically Vertical Shifts Let f be the Function and c a positive real number. The graph of y = f(x) + c is the graph of y = f(x) shifted c units vertically upwards. The graph of y = f(x) - c is the graph of y = f(x) shifted c units vertically downwards. g(x) = x2 + 2 = f(x) + 2 h(x) = x2 3 = f(x) 3 Look for the positive and negative sign. Positive sign makes the graph move upwards and the negative sign makes it move downwards Here is a picture of the graph of g(x) = x2 1. It is obtained from the graph of f(x) = x2 by shifting it down 1 unit.

Graphing Standard Function & Transformations The rules below take these standard plots and shift them horizontally/ vertically Vertical Shifts Let f be the function and c a positive real number. The graph of y = f(x) + c is the graph of y = f(x) shifted c units vertically upwards.

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