Jeopardy by wanghonghx

VIEWS: 10 PAGES: 59

									Quadratic   Which                           What’s the
                    Parabolas   Factoring    Point?
Formula     form?


 100        100      100         100         100

 200        200      200         200         200

 300        300      300         300         300

 400        400      400         400         400

 500        500      500         500         500
Quadratic   Which                           Polynomials
                    Parabolas   Factoring
Formula     form?


 100        100      100         100         100

 200        200      200         200         200

 300        300      300         300         300

 400        400      400         400         400

 500        500      500         500         500
  Quadratic Formula- $100

THE EXPRESSION
 b2 – 4ac, FOUND

UNDERNEATH THE
 RADICAL IN THE
    FORMULA.
Quadratic Formula- $100 Answer




 WHAT IS THE
DISCRIMINANT?
  Quadratic Formula- $200

POINTS ON THE X-
 AXIS FOUND BY
REPLACING Y WITH
    ZERO IN A
   QUADRATIC
   EQUATION.
  Quadratic Formula- $200 Answer



   WHAT ARE X-
INTERCEPTS, ZEROS
    OR ROOTS?
   Quadratic Formula- $300

 THE TYPE OF SOLUTIONS
FOUND WHEN SIMPLIFYING
 THE EXPRESSION SHOWN
        BELOW
          -2  -8
              4
 Quadratic Formula- $300 Answer



WHAT ARE COMPLEX
   NUMBERS?
     Quadratic Formula- $400

  THE NUMBER OF REAL
SOLUTIONS THE GRAPH OF A
  QUADRATIC EQUATION
  ASSOCIATED WITH THIS
   SOLUTION WILL HAVE.
         7  41
            3
Quadratic Formula - $400 Answer




   WHAT IS 2?
    Quadratic Formula- $500
 THE NUMBER OF TIMES THE
  GRAPH OF A QUADRATIC
EQUATION ASSOCIATED WITH
THIS SOLUTION WILL TOUCH
       THE X-AXIS.
           4 0
             6
Quadratic Formula- $500 Answer




 WHAT IS ONCE?
        Which Form? - $100

 A QUADRATIC EQUATION OF THE
FORM  f(x) = a(x - h)2 + k, WHERE A IS
 A NONZERO CONSTANT AND THE
  VERTEX OF THE GRAPH IS THE
            POINT (h, k).
   Which Form? - $100 Answer




WHAT IS VERTEX FORM?
       Which Form? - $200

A QUADRATIC EQUATION OF THE
FORM f(x) = ax2 + bx + c , WHERE A
IS A NONZERO CONSTANT AND b
   AND c ARE REAL NUMBERS.
  Which Form?- $200 Answer


    WHAT IS
STANDARD FORM?
    Which Form? $300

THE COEFFICIENT THAT
REMAINS THE SAME IN
  EITHER FORM OF A
QUADRATIC EQUATION.
Which Form? $300 Answer




  WHAT IS
  a?
   Which Form? $400
 THE FORM THAT A
QUADRATIC MUST BE
WRITTEN IN BEFORE
  THE QUADRATIC
 FORMULA CAN BE
     APPLIED.
 Which Form? $400 Answer




    WHAT IS
STANDARD FORM?
    Which Form? $500
   THE FORM THAT
ALLOWS READERS TO
SIMPLY LOOK AT THE
FUNCTION AND KNOW
HOW IT COMPARES TO
 THE PARENT GRAPH.
 Which Form? $500 Answer




   WHAT IS
VERTEX FORM?
                Parabolas
                  $100
The highest or lowest point on a parabola.
    If f(x) = a(x - h)2 + k , this point is
     represented by the point (h, k).
   Parabolas - $100 Answer




What is the vertex?
   Parabolas - $200



The line that divides
a parabola into two
 symmetric parts.
 Parabolas - $200 Answer




What is the axis
 of symmetry?
       Parabolas - $300

    The set of possible x-
coordinates. For all quadratic
functions, this set of numbers
   will be all real numbers.
   Parabolas - $300 Answer




What is the domain?
        Parabolas - $400
  A shift that occurs when
       comparing the
parent graph, f(x) = x  2 to the

   graph of the parabola
represented by the equation
        f(x) = (x - 3)2
   Parabolas - $400 Answer



What is a horizontal
       shift?
        Parabolas - $500


A shift that occurs when comparing
   the f(x) = x2parent graph,
    to the graph of the parabola
    represented by the equation
           f(x) =x2 + 4
      Parabolas - $500 Answer




What is a vertical shift?
          Factoring- $100


Factor the quadratic expression:

          x  36
            2
 Factoring - $100 Answer




( x  6)( x  6)
            Factoring- $200



Factor the quadratic expression:

      x  17 x  60
        2
  Factoring - $200 Answer




( x  5)( x  12)
     Factoring - $300

Factor the quadratic
    expression:

x  25 x  24
 2
  Factoring - $300 Answer




( x  1)( x  24)
           Factoring - $400

           *Daily Double!*

Factor the quadratic expression:

     x  14 x  49
       2
 Factoring - $400 Answer



( x  7)( x  7)
   or ( x  7)         2
        Factoring - $500



Factor the quadratic expression

       x  6 x  27
        2
 Factoring - $500 Answer




( x  9)( x  3)
   What’s the Point - $100



THE SOLUTION TO A
   QUADRATIC
    EQUATION
What’s the Point - $100 Answer



WHAT ARE THE
   ROOTS
 OR ZEROS
   What’s the Point - $200



ON THE GRAPH OF
   ax 2 + bx + c,

 THE POINT (0, c)
 What’s the Point - $200 Answer




WHAT IS THE
Y-INTERCEPT?
  What’s the Point - $300



THE VERTEX OF
  ax 2 + bx + c
What’s the Point - $300 Answer




    WHAT IS
       b   b 
     
      2a ,f    
            2a  
 What’s the Point - $400



 THE VERTEX
      OF
y = a(x +h ) 2 - k
What’s the Point - $400 Answer




    WHAT IS
    (- h, - k)
   What’s the Point - $500

  THE VERTEX OF
A QUAD. FUNCTION
 WHOSE AXIS OF
SYMETRY IS ZERO,
AND HAS ONLY ONE
      ROOT
What’s the Point - $500 Answer

    WHAT IS
      (0,0)
    OR THE
    ORIGIN ?
Final Jeopardy Category:

    Quadratic
    Equations
       Final Jeopardy Question
The quadratic function, f(x), has
these characteristics:
     axis of symmetry: x = 1
     domain: x 
     range: y  , y  3
     f  0  5

Write the equation of the function
in vertex form.
     Final Jeopardy Answer



f  x   2  x  1  3
                             2

								
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