4.6 Notes Day 2.notebook
October 13, 2014
10­13­2014
Please get out these things:
• blank paper (for in­class practice)
• 4.6 SQUARE ROOTS packet
• a highlighter
2 points each, 1 for each solution
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4.6 Notes Day 2.notebook
October 13, 2014
44 points total ‐ put their total score correct @top please!!
*you can/should fix these before I collect them at the end of the packet.
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4.6 Notes Day 2.notebook
October 13, 2014
"completing the square"
big idea: making perfect square trinomials
visual representation
what is c?
squared binomial: _________
"completing the square"
big idea: making perfect square trinomials
visual representation
y = x2 ­ 18x ____
what is c?
squared binomial: _________
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4.6 Notes Day 2.notebook
October 13, 2014
Think about your steps of FOIL...if the factors were the same, what's missing?
(x ____) (x____) = ( )2
( )2
( )2
( )2
( )2
( )2
( )2
( )2
( )2
How does the c value of a perfect square trinomial relate to the b value? ax2 + bx + c
ax2 ­ bx + c
How can you use b to find c??
( )2
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4.6 Notes Day 2.notebook
October 13, 2014
Changing standard form to vertex form by completing the square.
Re-written in vertex form?
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4.6 Notes Day 2.notebook
October 13, 2014
Completing the square! (a=1)
y = x2 + 10x + 22 packet page 3
#4a)
Vertex form: What transformations does this graph have from the parent function y = x2?
vertex: ________ y­intercept: _______
Completing the square! (a=1)
y = x2 + 10x +22
y=(x2 + 10x +
what would make this a perfect square trinomial?
**you complete the square using the first two terms only! ) +22 ­
keep the value of the equation equal
Simplify: squared binomial + k value
y= (x + )2 + __ What transformations does this graph have from the parent function y = x2?
vertex: ________ y­intercept: _______
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4.6 Notes Day 2.notebook
October 13, 2014
Completing the square! (a=1)
y = x2 ­ 24x ­ 7
**you complete the square using the first two terms only! y=(x2 ­ 24x +
what would make this a perfect square trinomial?
) ­7 ­
keep the value of the equation equal
(b/2)2
Simplify: squared binomial + k value
y= (x )2 + __ What transformations does this graph have from the parent function y = x2?
vertex: ________ y­intercept: _______
Completing the square! (a=1)
y = x2 ­ 24x ­ 7
Vertex form: What transformations does this graph have from the parent function y = x2?
vertex: ________ y­intercept: _______
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4.6 Notes Day 2.notebook
October 13, 2014
Completing the square! (a≠1)
y = 3x2 ­ 12x + 5
y = 3( ) + 5
**you factor a from the first two terms only so a = 1, leave c alone! y= 3(x2 ­ 4x + ) + 5 ­
what would make this a perfect square trinomial?
keep the value of the equation equal
(b/2)2
what did you really add to the function with ?
Simplify: squared binomial + k value
y = 3(x ­ )2 + __ What transformations does this graph have from the parent function y = x2?
vertex: ________ y­intercept: _______
Completing the square! (a≠1)
y = ­5x2 + 30x ­ 7
**you factor a from the first two terms only so a = 1, leave c alone! y = ( ) ­ 7
y= __(x2 ­ __x + ) ­ 7
what would make this a perfect square trinomial?
keep the value of the equation equal
(b/2)2
what did you really add to the function with ?
Simplify: squared binomial + k value
y = __(x ­ )2 + __ What transformations does this graph have from the parent function y = x2?
vertex: ________ y­intercept: _______
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4.6 Notes Day 2.notebook
October 13, 2014
**only factor first 2 terms, leave c alone!!
what are advantages to
vertex form over
standard form??
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4.6 Notes Day 2.notebook
October 13, 2014
COMPLETE THE SQUARE ‐ MAKE PERFECT SQUARE TRINOMIALS!
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4.6 Notes Day 2.notebook
October 13, 2014
COMPLETE THE SQUARE ‐ MAKE PERFECT SQUARE TRINOMIALS!
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4.6 Notes Day 2.notebook
October 13, 2014
COMPLETE THE SQUARE to solve! since the constant is already on the other side of the equation, you can keep equality by adding the "perfect c value" to both sides!!
page 5, #6)
3x2 ­ 12x = ­9
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4.6 Notes Day 2.notebook
October 13, 2014
COMPLETE THE SQUARE to solve! since the constant is already on the other side of the equation, you can keep equality by adding the "perfect c value" to both sides!!
page 5, #8)
­ 120x = ­4x2 ­ 180
Book Assignment: write the original problem, show your work, circle answer
Read through the Lesson on page 216­220. Look through the examples and the steps for factoring. PICK 12 PROBLEMS ON page 221­222 #15­56 odd on your own paper. CHECK YOUR ANSWERS using FOIL, and also look at the back of the book for the answers. Factoring Quiz #2 / Test Points Redemption
(12 problems ­ 12 points ­ NEXT CLASS!)
This counts as a quiz score for everybody, but I will also use it to improve your score on the factoring section on page #3. (12 points)
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4.6 Notes Day 2.notebook
October 13, 2014
HOMEWORK
• 4.6 packet pages #1­5
• Fix 4.5 ­ 4.6 packet mistakes
• MATH xl ­ 4.5 due tonight:)
There's no MathXL 4.6 (i'll assign it, but the score won't count, it's only if you want more practice!)
• Factor Re-teach assignment - pg 221-222,
Factor Quiz #2: (12 questions) NEXT CLASS!!
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