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anonymous
 one year ago
@jim_thompson5910
anonymous
 one year ago
@jim_thompson5910

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0DESCRIBE EACH FUNCTION AS ONE OR MORE TRANSFORMATIONS OF IT'S PARENT FUNCTION 1. g(x) = log (x + 4) 2. g(x) = x^2  3 3. g(x) = (2 / x +5) 4. g(x) = e ^(4x)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what's the parent function of g(x) = log (x + 4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let me graph it on my calc

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2when I say "parent" function, I'm talking about the most basic form of it before you do any transformations

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2example: x^2 is a parent function (x+2)^2 + 7 is a transformed version of the x^2 parent function

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2here's a list of parent functions commonly used http://www.toomey.org/tutor/harolds_cheat_sheets/Harolds_Parent_Functions_Cheat_Sheet_2014.pdf

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2they consist of the basic shapes you'll see in graphs example: x^2 has a bowl shape. Any other bowl shape graph is most likely based off the parent function of x^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay so it would be a natural log

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I would say that log(x) is the parent of log (x + 4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that would be the answer for 1?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2how would you describe the transformation?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like how it would look on a graph?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yeah if you want, you can compare the parent function y = log(x) to y = log(x+4)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2how are those two different? how are they similar?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0they both start from a negative y and go up to a positive y moving to a greater number of x value?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443229687081:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443229706167:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2they have the same basic curve shape, yes

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the only difference is that log(x+4) is shifted 4 units to the left. You have the correct graphs

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2you'll follow these same steps for 2 through 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oay cool i thin i got it can i try doing number 2 by my self

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so number 2 in would be shifter 3 units down and fliped upside down

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2you actually flip first, then shift 3 units down

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the order matters (if you want, cut out a parabolic shape on paper, and play around with the 2 orders)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2parent: x^2 flip over x axis: x^2 > x^2 shift down 3 units: x^2 > x^2  3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03 would go from this dw:1443230322910:dw to this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443230407412:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.23 is this right? \[\Large \frac{2}{x+5}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be the one of the negative x values shifted 5 units up and the one in the positive value shifted 5 units down

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what is the parent function here

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2when we go to 2/x, what happens to the graph?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the ones in the negative x valuves move 2 unites to the left and vice versa

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2how are you graphing these functions? on paper? or with a graphing calculator?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh and it will also move down

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I'm using desmos if you want to use that here's the link https://www.desmos.com/calculator

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2here are 1/x and 2/x plotted together https://www.desmos.com/calculator/mgo61oouia

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what differences do you see?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it moves half a unit

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2well stretching is being done here. Vertical stretching by a factor of 2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2eg: (1,1) on 1/x turns into (1,2) on 2/x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2then notice how the green graph is shifted 5 units to the left to get 2/(x+5) https://www.desmos.com/calculator/ul6qdzno6d

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for the last one would it ve a vertical flip and shifts 4 units to he right

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2no, that would be true if it were e^(x4)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2we start with e^x which is the parent function replace the x with 4x. That will do 2 things a) the negative flips the graph over the y axis b) the 4 horizontally compresses the graph by a factor of 4 https://www.desmos.com/calculator/5tkhkrwm5e

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2if in doubt, graph to check
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