A2.F.1.3 Graph a quadratic function. Identify the x and yintercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.
In a Nutshell
Students will be able to graph and identify critical points in a quadratic function.
Student Actions

Teacher Actions

 Develop the Ability to Make Conjectures, Model, and GeneralizeStudents will generalize the graph of a quadratic function as parabolic.
 Develop a Deep and Flexible Conceptual Understanding Students will develop a deep conceptual understanding of x and yintercepts within a quadratic function in the context of a realworld problem.

Develop the Ability to Communicate Mathematically Students will interpret the critical points in a quadratic as x and yintercepts, minimum/maximum, axis of symmetry or vertex in a given graph with the aid of technology.


Key Understandings

Misconceptions


Identify the parent function in equation or graph form.

Understand vertical translations of a function f(x) + c, means moving up if c > 0 and down if c < 0.

Understand horizontal translation of a function, f(x + c), means moving left if c > 0 and right if c < 0.

Understand vertical stretch of a function, cf(x), when c > 0 and a compression when 0 < c < 1.
 Understand f(cx) is a horizontal stretch of a function when c >0 and a compression when 0<c<1.

Understand cf(x) is a reflection of a function when c<0.


OKMath Framework Introduction
Algebra 2 Grade Introduction
Algebra 2 MAPs
Algebra 2 Learning Progression
Algebra 2 Objective Analysis
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