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


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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


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Standard Intercept/Factored Vertex


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


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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.


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Write in standard form, and find the y-intercept.

2) 2(x - 4)2 = 81) (2x - 7 )(x + 6)= 8


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Write in intercept (factored) form, and find the x-intercepts.

4) (x - 1)2 = 93) 3x2 - 9x -12 = 0


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Write in vertex form, and find the vertex.

6) (x + 3)(x - 6) = 45) x2 - 8x +12 = 0


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HW <29>: 11D Worksheet


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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


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1) Graph y = x2 + 4x + 5

Axis of symmetry:

Vertex:

y-intercept:

Domain: Range:Max/Min:


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2) Graph y = -2x2 + 12x - 7

Axis of symmetry:

y-intercept:

Vertex:



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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!


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3) Graph y = x2 + 6x - 2



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4) Graph y = -2x2 + 4



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HW <30>: Day 1 Worksheet - FRONT ONLY Day 2 Worksheet - ALL


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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?


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1) Graph y = ( x + 1 )( x - 3 )

Axis of symmetry:

x-intercepts:

Vertex:

Domain: Range:

Max/Min:


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2) Graph y = x2 - 2x - 24

Axis of symmetry:

x-intercepts:

Vertex:

Domain: Range:

Max/Min:


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3) Graph

Domain: Range:

Max/Min:


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4) Graph y = ( x - 2 )2

Domain: Range:

Max/Min:


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HW <31>: Day 1 Worksheet: ODDS Only Day 2 Worksheet: #2-4, 6-7, 9-11


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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:


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2) Graph y = 2( x - 1 )2 - 3

A.O.S.:

vertex:

Domain: Range:

Max/Min:

y-intercept:

symmetry:


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3) Graph y = -( x - 2 )2 + 1

Domain: Range:

Max/Min:


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4) Graph y = -x2 + 1

Domain: Range:

Max/Min:


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5) Graph y = ( x - 1 )2

Domain: Range:

Max/Min:


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HW <32>: Day 1 Worksheet - ODDS Only Day 2 Worksheet - EVENS Only


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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)


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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.


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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


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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


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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...


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day 10 - targets 11d, 11b€¦ · day 10 targets 11d, 11b 4 07082013 standard intercept/factored...

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