Module 2: Structures of Expressions by Natalie Ekstrand https://padlet.com/ekstrandn1727/1tmjqj2d2nhk By: Natalie Ekstrand en-us 2016-10-10 20:59:02 UTC 2017-03-07 01:41:14 UTC hello@padlet.com Vertex  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129639538 The point where the parabola begins to curve (highest or lowest point of the parabola) ]]> 2016-10-10 21:05:11 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129639538 Axis of Symmetry  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129639702 A line that shows the middle of the parabola (you could fold one half onto the other perfectly]]> 2016-10-10 21:06:08 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129639702 Minimum or Maximum  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129639869 The lowest or highest point ]]> 2016-10-10 21:07:14 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129639869 y=x^2+k  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129640183 the purpose of k is to move the vertex up and down the y axis ]]> 2016-10-10 21:09:44 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129640183 y=(x-h)^2  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129640585 The purpose of h is to shift left and right]]> 2016-10-10 21:12:42 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129640585 Vertex Form  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129640804 y=a(x-h)^2+k 
Vertex: (h,k) (the sign becomes opposite for h)
Axis of Symm: x=h
Solving for a: pick an x&y besides the vertex and plug it in ]]> 2016-10-10 21:13:39 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129640804 Perfect Squares  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129641505 Take your dimension number, double it to get the middle number and square the dimension number to get the third number ]]> 2016-10-10 21:17:31 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129641505 Completing the square ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129642574 if its not a perfect square then you can add the value that makes it perfect and subtract to fix the equation ]]> 2016-10-10 21:25:08 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/129642574 Standard Form  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130013425 f(x)=ax^2+bx+c
To get from standard form to Vertex form you must complete the square ]]> 2016-10-12 02:24:39 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130013425 Factored Form  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130013490 f(x)=(x+d)(x+e)
Factored form is used when dealing with perfect squares. To get to standard form from factored form, you multiply . The numbers should add up the middle number in standard form and multiply to the third one.  ]]> 2016-10-12 02:25:20 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130013490 Ex: Standard Form  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130328043 y=x^2+8x-13
y=x^2+8x+16-13-16
y=(x+4)^2-29
(8/2)^2=16]]> 2016-10-13 04:45:37 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130328043 Helpful Video  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130328816 https://www.youtube.com/watch?v=ocxUbjOgfTs
This video explains how to complete the square to make it perfect. It shows how to take an equation from standard for to vertex form ]]> 2016-10-13 04:55:50 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130328816 Perfect Squares   ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130332161 2016-10-13 05:43:57 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130332161 New concept  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130333547 A new concept that we learned in this module is that, to fix a non-perfect square to make it perfect, you just have to add the value to make it perfect and subtract it. You need to subtract it to balance it out because you can't just randomly add in numbers. ]]> 2016-10-13 05:59:14 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130333547 Ex: Factored Form  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130333753 2x^2+11x+12
(2x+3)(x+4)
The 2x multiplies by the 4 making it 8x. (multiply your innards and outers) You then add the 8x and the 3x to get the 11x. This makes the numbers add the middle number. To get the third you number you just multiply the 3 and the 4. This gives you the 12. ]]> 2016-10-13 06:01:09 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130333753 Parabola ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130334215 2016-10-13 06:06:24 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130334215 New Concept  ekstrandn1727 https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130648446 Another new concept is going through different forms of equations to solve a problem. If a question asks you to solve a problem, but it isn't in the right form, you might have to go through 2 forms before you can solve in the right form. ]]> 2016-10-14 05:43:59 UTC https://padlet.com/ekstrandn1727/1tmjqj2d2nhk/wish/130648446