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Enduring understandings of quadratic relationships
ESSENTIAL QUESTIONS
AND QUADRATICS REVIEW
Function, relation, domain, range, perfect square trinomial, difference of perfect squares, roots/zeroes, real and complex roots, extrema, minimum, maximum, y-intercept, line or Axis of symmetry, standard form, vertex form, intercept form, 1st difference, 2nd difference, completing the square, the discriminant, quadratic formula
VOCABULARY
What are the forms of a quadratic function and what are the benefits of each?
What are the forms of a quadratic function and what are the benefits of each?
Standard?Vertex?Factored or Intercept form?
What is the fundamental theorem of algebra and how does it relate to quadratic functions? How do a visual and an algebraic model demonstrate the theorem? How does the discriminant help you understand where the roots will be?
How does a quadratic data table compare to other types of functions? Where is evidence that a function is quadratic on a table, graph, and equation?
How does a quadratic data table compare to other types of functions? Where is evidence that a function is quadratic on a table, graph, and equation?
Second Diff erences?Highest power on x?Parabola?
How do algebraic manipulations of a function highlight diff erent features?
How do algebraic techniques like completing the square and the quadratic formula help to highlight key features of a quadratic function?
How do transformations of the parent function y = x^2 create changes on the graph and how does this relate to families of quadratics?
How do roots, both real and imaginary, help in writing functions?
PRACTICE QUESTIONS
Graph and note all key features
PRACTICE QUESTIONS
PRACTICE QUESTIONS
PRACTICE QUESTIONS
PRACTICE QUESTIONS
Determine a function that creates these roots
PRACTICE QUESTIONS
{ 1 , -5
8
}
4 3i
5
Determine the function that has the following roots and produces the point (0, 50) – Careful!
PRACTICE QUESTIONS
4 3i
5
How can the geometric understanding of parabolas help us to connect algebra and geometry?
Given the diagram below, determine an equation that represents this parabola.
