Day 10 - Targets 11D, 11B€¦ · Day 10 Targets 11D, 11B 4 07082013 Standard Intercept/Factored...
Transcript of Day 10 - Targets 11D, 11B€¦ · Day 10 Targets 11D, 11B 4 07082013 Standard Intercept/Factored...
Day 10 Targets 11D, 11B
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Agenda:• Notes: Targets 11D, 11B• Unit 10 Test Return • For Tomorrow: Quiz on 11B
11A, 11C, 11EFERP Unit 9
• Test on Wednesday
Unit 11: Graphing QuadraticsMs. Dorsch
Day 10 Targets 11D, 11B
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Standard Intercept/Factored Vertex
Target 11D: ConvertingBetween Quadratic Forms
y=ax2+bx+c
No parenthesesAll like terms arecombined
Descending order
y-intercept is easyto find
y=a(x-p)(x-q)
Fully factored
x-intercepts are easy to obtain
y=a(x-h)2+k
Vertex (h,k) easy to obtain
Complete square
Day 10 Targets 11D, 11B
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Day 10 Targets 11D, 11B
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Standard Intercept/Factored Vertex
Target 11D: ConvertingBetween Quadratic Forms
y=ax2+bx+c y=a(x-p)(x-q) y=a(x-h)2+k
multiply out
multiply out
factor it
complete the square
Day 10 Targets 11D, 11B
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Target 11D: ConvertingBetween Quadratic Forms
y = x2 - 4x + 6
y = (x + 4)(x - 2)
y = (x - 3)2 + 2
Name the form for each of the following. Identify any key elements you can observe immediately.
Day 10 Targets 11D, 11B
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Target 11D: ConvertingBetween Quadratic Forms
Write in standard form, and find the y-intercept.
2) 2(x - 4)2 = 81) (2x - 7 )(x + 6)= 8
Day 10 Targets 11D, 11B
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Target 11D: ConvertingBetween Quadratic Forms
Write in intercept (factored) form, and find the x-intercepts.
4) (x - 1)2 = 93) 3x2 - 9x -12 = 0
Day 10 Targets 11D, 11B
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Target 11D: ConvertingBetween Quadratic Forms
Write in vertex form, and find the vertex.
6) (x + 3)(x - 6) = 45) x2 - 8x +12 = 0
Day 10 Targets 11D, 11B
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HW <29>: 11D Worksheet
Day 10 Targets 11D, 11B
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Target 11B: Graphing inStandard Form
Identify the following:
Vertex:
Axis of symmetry:
x-intercept(s):y-intercept:
domain:range:
y = x2 - 4x - 5
Day 10 Targets 11D, 11B
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Target 11B: Graphing inStandard Form
1) Graph y = x2 + 4x + 5
Axis of symmetry:
Vertex:
y-intercept:
Domain: Range:Max/Min:
Day 10 Targets 11D, 11B
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Target 11B: Graphing inStandard Form
2) Graph y = -2x2 + 12x - 7
Axis of symmetry:
y-intercept:
Vertex:
Domain: Range:Max/Min:
Day 10 Targets 11D, 11B
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Target 11B: Graphing inStandard Form
Turn to the person next to you!
Student on the left: Pretend you were absent during the last section, and have NO idea how to find a vertex for a
standard form equation.
Student on the right: Explain to your partner how they would find the vertex!
Day 10 Targets 11D, 11B
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Target 11B: Graphing inStandard Form
3) Graph y = x2 + 6x - 2
Domain: Range:Max/Min:
Day 10 Targets 11D, 11B
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Target 11B: Graphing inStandard Form
4) Graph y = -2x2 + 4
Domain: Range:Max/Min:
Day 10 Targets 11D, 11B
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HW <30>: Day 1 Worksheet - FRONT ONLY Day 2 Worksheet - ALL
Day 10 Targets 11D, 11B
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Target 11B: Graphing inIntercept (Factored) Form
y= (x-5)(x-1) Identify the following:
x-intercepts:
Axis of symmetry:
How might you find the vertexusing the x-intercept informationwe get from the equation?
Day 10 Targets 11D, 11B
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Target 11B: Graphing inIntercept (Factored) Form
1) Graph y = ( x + 1 )( x - 3 )
Axis of symmetry:
x-intercepts:
Vertex:
Domain: Range:
Max/Min:
Day 10 Targets 11D, 11B
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Day 10 Targets 11D, 11B
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Target 11B: Graphing inIntercept (Factored) Form
2) Graph y = x2 - 2x - 24
Axis of symmetry:
x-intercepts:
Vertex:
Domain: Range:
Max/Min:
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Target 11B: Graphing inIntercept (Factored) Form
3) Graph
Domain: Range:
Max/Min:
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Target 11B: Graphing inIntercept (Factored) Form
4) Graph y = ( x - 2 )2
Domain: Range:
Max/Min:
Day 10 Targets 11D, 11B
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HW <31>: Day 1 Worksheet: ODDS Only Day 2 Worksheet: #2-4, 6-7, 9-11
Day 10 Targets 11D, 11B
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Target 11B: Graphing inVertex Form
1) Graph y = ( x + 2 )2 + 3
A.O.S.:
vertex:
Domain: Range:
Max/Min:
y-intercept:
symmetry:
Day 10 Targets 11D, 11B
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Target 11B: Graphing inVertex Form
2) Graph y = 2( x - 1 )2 - 3
A.O.S.:
vertex:
Domain: Range:
Max/Min:
y-intercept:
symmetry:
Day 10 Targets 11D, 11B
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Day 10 Targets 11D, 11B
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Target 11B: Graphing inVertex Form
3) Graph y = -( x - 2 )2 + 1
Domain: Range:
Max/Min:
Day 10 Targets 11D, 11B
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Target 11B: Graphing inVertex Form
4) Graph y = -x2 + 1
Domain: Range:
Max/Min:
Day 10 Targets 11D, 11B
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Target 11B: Graphing inVertex Form
5) Graph y = ( x - 1 )2
Domain: Range:
Max/Min:
Day 10 Targets 11D, 11B
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HW <32>: Day 1 Worksheet - ODDS Only Day 2 Worksheet - EVENS Only
Day 10 Targets 11D, 11B
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Target 11B: Graphing ALL THREE FORMS
Key Pieces of Graphing Information
vertex (axis of symmetry)
x-intercept(s)
y-intercept (symmetry)
Day 10 Targets 11D, 11B
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Target 11B: Graphing ALL THREE FORMS
The Ultimate Fall-back Plan
At the VERY LEAST, if you can find the VERTEX:
Pick an x value to the right of the vertex.Substitute it in to find the y value.
Reflect.
You should now be able to draw your parabola.
Day 10 Targets 11D, 11B
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Target 11B: Graphing ALL THREE FORMS
BRING ME YOUR FERP FOR POINTS!!!!! You get your QUIZ REVIEW (HW<33>) once you tell me:• What information would you get at the start?• What additional information would you need, and how would you find it?
y = ( x + 6 )( x - 3 )
y = 2( x - 4 )2 + 1
y = x2 - 3x + 2
y = ( x - 2 )2
Day 10 Targets 11D, 11B
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HW <32>: Day 1 Worksheet - ODDS Only Day 2 Worksheet - EVENS Only
HW <29>: 11D Worksheet
HW <33>: All 3 Forms Worksheet
HW <31>: Day 1 Worksheet: ODDS Only Day 2 Worksheet: #2-4, 6-7, 9-11
HW <30>: Day 1 Worksheet - FRONT ONLY Day 2 Worksheet - ALL
Day 10 Targets 11D, 11B
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Be Ready:• <29-33> Due• FERP Unit 9 Due• Quiz on 11B• Notes on 11A, 11C, 11E• Distribute Study Guide
For Tomorrow...
Day 10 Targets 11D, 11B
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