Essential Questions and Quadratics review Function relation domain range perfect square trinomial difference of perfect squares rootszeroes real and complex roots extrema minimum maximum yintercept line or Axis of symmetry standard form vertex form intercept form 1 ID: 555611
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Slide1
Enduring understandings of quadratic relationships
Essential Questions
and Quadratics reviewSlide2
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, 1
st
difference, 2nd difference, completing the square, the discriminant, quadratic formula
VocabularySlide3
What are the forms of a quadratic function and what are the benefits of each?Slide4
What are the forms of a quadratic function and what are the benefits of each
?
Standard?Vertex?Factored or Intercept form?Slide5
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?Slide6
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
?Slide7
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 Differences?Highest power on x?
Parabola?Slide8
How do algebraic manipulations of a function highlight different features?
How
do algebraic techniques like completing the square and the quadratic formula help to highlight key features of a quadratic function?Slide9
How do transformations of the parent function y = x^2 create changes on the graph and how does this relate to families of quadratics?Slide10
How do roots, both real and imaginary, help in
writing functions
?Slide11
Practice QuestionsSlide12
Graph and note all key features
Practice QuestionsSlide13
Practice QuestionsSlide14
Practice QuestionsSlide15
Practice QuestionsSlide16
Determine a function that creates these roots
Practice QuestionsSlide17
Determine the function that has the following roots and produces the point (0, 50) – Careful!
Practice questionsSlide18
How can the geometric understanding of parabolas help us to connect algebra and geometry?Slide19
Given the diagram below, determine an equation that represents this parabola.