Graphing Square Root and Cube Root Functions Graphing

Graphing Square Root and Cube Root Functions

Graphing Square Root and Cube Root Functions Let’s take a look at the graphs of the following functions: Square Root: Cube Root: To graph these functions, make an x-y table of values and plot. . . x 0 1 4 9 f(x) 0 1 2 3 x 0 1 8 -1 -8 g(x) 0 1 2 -1 -2 The graphs of other square root or cube root functions will be translations of the above graphs. . .

Study the graphs of the following square root functions: The number under the radical symbol will translate the graphs left or right, opposite the sign. . .

Study the graphs of the following square root functions: The number outside of the radical symbol will translate the graphs up or down, in the same direction as the sign.

Example: Graph This graph will be a translation of the graph 2 units to the left 3 units up

Study the graphs of the following cube root functions: The number under the radical symbol will translate the graphs left or right, opposite the sign. . .

Study the graphs of the following cube root functions: The number under the radical symbol will translate the graphs up or down, in the same direction as the sign.

Example: Graph This graph will be a translation of the graph 2 units to the left 1 units up

Example: Graph This function is the same as Make a table of values to locate several points on the graph. . . x g(x) -5 -4 -3 -2 -1 0 1 -. 4 -. 3 1 2 2. 3 2. 4 2. 6 Start with the point of inflection (where the translation takes you).