Algebra II Unit 4

Big Idea:

Graph quadratic functions in different forms

Student Expectations:

Priority TEKS

2A.4(B) write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening

Focus TEKS

2A.4(A) write the quadratic function given three specified points in the plane

2A.4(E) formulate quadratic and square root equations using technology given a table of data

2A.4(D) transform a quadratic function f(x) = ax² + bx + c to the form f(x) = a(x - h)² + k to identify the different attributes of f(x)

Student Learning Targets:

• I will derive a general equation for a parabola based on the definition of a parabola
• I will write the equation of a parabola given graph and key attributes
• I will determine the quadratic function that passes through three given points on a plane.
• I will find the quadratic model for a given table of data
• I will use a quadratic model to make predictions
• I will describe the translations of the parent function f(x) = x²
• I will write the equations of the function given the translations of the parent function f(x) = x².
• I will write the equation of the quadratic function given a transformation of the function f(x) = x²
• I will write a quadratic function in vertex form.
• I will use transformations to graph a quadratic function in vertex form.

Essential Questions:

• What are the advantages of a quadratic function in vertex form? In standard form?
• How is any quadratic function related to the parent quadratic function f(x) = x² ?
• How does solving for x in quadratic functions compare to solving for x in linear functions?

Extra Information:

Adopted Textbook: Springboard - Algebra II Texas Edition

District Grading Policy

Texas Gateway Online Resource Center