Graphs of square root functions

The  exercise appears under the Algebra II Math Mission. This exercise recognizes the graphs of square root functions.

Types of Problems
There is one type of problem in this exercise:


 * 1) Move the cards to the right graphs: This problem provides a collection of four graphs of square root functions. The student is expected to slide the algebraic expressions of the functions to the correct label for the graphs.Gosrf1.png

Strategies
Knowledge of the parent function for square root functions and the set of functional transformations are encouraged to ensure success on this exercise. However, using a T-table is all that is necessary.
 * 1) One way to always create a graph is to create a T-table of values.
 * 2) A square root function generally looks like half a parabola on it's side.
 * 3) Adding and subtracting constants generally performs translations.
 * 4) Multiplying and dividing by constants generally performs compressions and stretches.
 * 5) Multiplying by negatives generally performs reflections.

Real-life Applications

 * 1) An ability to graph and recognize graphs quickly will increase proficiency in the calculus which studies rates of changes of functions.
 * 2) Square root functions are useful in physics when modeling curvature of certain geometric figures.