ANNOUNCEMENTS. GOOD MORNING or GOOD AFTERNOON AGENDA FOR TODAY. Quickly Review Absolute Values Graphing Quadratics. Vertex Form Calculator Activity
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1 ANNOUNCEMENTS GOOD MORNING or GOOD AFTERNOON AGENDA FOR TODAY Quickly Review Absolute Values Graphing Quadratics Vertex Form Calculator Activity
2 M314 Algebra II Section 9-4 and 9-5: Quadratics Presented by, Mr. Kruczinski
3 Absolute Value Graphs Review 1. y = l x l 2. y = -l x l
4 Warm up (h,k) x=h If a is positive If a is negative Slope is equal to +a
5 WARM-UP TIME GET OUT YOUR HOMEWORK for CHECK-IN Countdown Clock By Dr. Jeff Ertzberger
6 WARM-UP TIME GET OUT YOUR HOMEWORK for CHECK-IN Countdown Clock By Dr. Jeff Ertzberger
7 WARM-UP TIME GET OUT YOUR HOMEWORK for CHECK-IN Countdown Clock By Dr. Jeff Ertzberger
8 WARM-UP TIME GET OUT YOUR HOMEWORK for CHECK-IN Countdown Clock By Dr. Jeff Ertzberger
9 WARM-UP TIME GET OUT YOUR HOMEWORK for CHECK-IN Countdown Clock By Dr. Jeff Ertzberger
10 ATTENTION CHECK IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING ATTENTION. (GOOD JOB) IF YOU ARE CONTINUING TO READ THIS SLIDE, THEN PLEASE RAISE YOUR LEFT HAND. THANK YOU!
11 -2-3 (-2,-3) +1 X=-2 up 5 1 (5,1) +2 X=5 up
12 Warm-Up (Cont.) 4 5 (4,5) +1 X=4 down
13 Graphs of Quadratic Functions A quadratic function is a function that can be described as Consider the following graph of f(x)= x 2 This shape is called a Parabola (Para- BOWL -a) This is considered the line [or axis] of Symmetry It can be expressed as x = 0 This point is called the. vertex We can notate it as. (0,0) What is the DOMAIN of this function? All Reals What is the RANGE of this function? y > 0
14 Vertex: (-2,0) Line of symmetry: x = -2 Minimum/Max: There is a minimum (the vertex) (-2,0) Domain All Real Numbers Range y > 0 Example # 1
15 Vertex: (3,0) Line of symmetry: x= 3 Minimum/Max: There is a maximum (the vertex) (3,0) Domain All Real Numbers Range y < 0 Example # 2
16 Calculator Activity (Worksheet #1) Rules and Guidelines You can work with a partner Group A: Question 1 &2 Group B: Question 3 & 4 Group C: Question 5 & 6 If you finish your assigned questions continue on. You have 5 minutes to do the activity
17 Calculator Activity If you finish early continue on with the Packet Back to Clock Home Countdown Clock By Dr. Jeff Ertzberger
18 Calculator Activity If you finish early continue on with the Packet Countdown Clock By Dr. Jeff Ertzberger
19 Calculator Activity If you finish early continue on with the Packet Countdown Clock By Dr. Jeff Ertzberger
20 Calculator Activity If you finish early continue on with the Packet Countdown Clock By Dr. Jeff Ertzberger
21 Calculator Activity If you finish early continue on with the Packet Countdown Clock By Dr. Jeff Ertzberger
22 ATTENTION CHECK IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING ATTENTION. (GOOD JOB) IF YOU ARE CONTINUING TO READ THIS SLIDE, THEN PLEASE STAND UP. THANK YOU!
23 SKETCHPAD DEMO Discussion of Calculator Activity
24 (h, k) x = h a is positive a is negative
25 EXAMPLES: h = 3 (3, 5) x = 3 f(x) = a (x h) 2 + k k= 5 Opens up (because a is positive) h = 2 k= 3 (2, 3) x = 2 Open Down (because a is negative)
26 Whole Class EXAMPLES (1,2) (2,6) x = 1 x = 2 up down min max (-3,-5) x = -3 up min
27 ON YOUR OWN Graph Problems # Countdown Clock By Dr. Jeff Ertzberger
28 ON YOUR OWN Graph Problems # Countdown Clock By Dr. Jeff Ertzberger
29 ON YOUR OWN Graph Problems # Countdown Clock By Dr. Jeff Ertzberger
30 ON YOUR OWN Graph Problems # Countdown Clock By Dr. Jeff Ertzberger
31 ON YOUR OWN Graph Problems # Countdown Clock By Dr. Jeff Ertzberger
32 ATTENTION CHECK IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING ATTENTION. (GOOD JOB) IF YOU ARE CONTINUING TO READ THIS SLIDE, THEN PLEASE PUT YOUR FINGER ON YOUR NOSE. THANK YOU!
33 On Your Own..Graph the following: (0,-5) (0,-3) (-2,2) x = 0 x = 0 x = -2 up down down min max max All Reals All Reals All Reals y > -5 y < -3 y < 2 Domain: Range: Domain: Range: Domain: Range:
34 We can set x equal to zero!!!
35 (0,-4) (2,0) and (-2,0) (0,0) (0,0) (0,3) none
36 HOMEWORK DAY 2 HOMEWORK [ODDS ONLY] Mini-Quiz Next Class Graphing Absolute Values Stating Vertex/ Axis of Symmetry/ opening up or down Graphing Quadratics Stating Vertex/ Axis of Symmetry/ opening up or down
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