Graph Square Root and Cube Root Functions

Square Root Parent Function00:00:00

Introduction to the square root parent function y=√x. Explains key coordinate points, why negative numbers are excluded, and defines the basic domain (x ≥ 0) and range (y ≥ 0).

Transformations Explained00:00:51

Explanation of the general equation y = a√(x-h) + k. Details how 'a' handles vertical stretches/compressions, 'h' handles horizontal shifts, and 'k' handles vertical shifts.

Graphing Square Root Functions00:01:53

Step-by-step process for graphing square root functions by using the transformation shift as a new origin and plotting table values.

Cube Root Functions00:03:22

Introduction to the cube root parent function y=³√x. Explains the S-shaped curve, how it differs from square roots by accepting negative numbers, and notes that its domain and range are all real numbers.

Graphing Cube Root Functions00:04:34

Demonstrates how to apply transformations to cube root functions, using specific shifts and table values to determine the final graph shape.