 Videos and lessons to help High School students learn how to write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

A. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

• Factor quadratics and complete the square (with II.2.A.SSE.3) to find intercepts, extreme values, and symmetry of the graph.
• Transition between different forms of quadratic functions and identify the advantages of each.

Common Core: HSF-IF.C.8

F.IF.8 - Use Factoring and re-writing function rules to solve problems
Samantha kicked a football into the air. The function h(t) = 100t - 16t2 models the height of the ball t seconds after it was kicked.
a) How long does it take for the ball to hit the ground?
b) How long will it take to reach the maximum height?
c) What is the maximum height the ball reaches?
Ex: Quadratic Function Application - Time and Vertical Height
This video provides an example of an application of a quadratic function that gives the vertical height of an object as a function of time.

Ex: Quadratic Function Application - Maximum Area
This video explains how to use a quadratic function to find the dimensions of a rectangle with maximum area.
Ex: Quadratic Function Application - Horizontal Distance and Vertical Height
This video provides an example of an application of a quadratic function that gives the vertical height of an object as a function of the horizontal distance traveled.

Ex: Quadratic Function Application - Blood Pressure
This video provides an application regarding blood pressure that involves a quadratic function.
Ex: Quadratic Function Application Using Formulas - Rocket Launch
This video explains how to solve an quadratic function application problem using formulas for quadratic functions and quadratic equations.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 