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Mathematics 23 Online
OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

DESCRIBE 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)

jimthompson5910 (jim_thompson5910):

what's the parent function of g(x) = log (x + 4)

OpenStudy (anonymous):

let me graph it on my calc

OpenStudy (anonymous):

(0, 0.60)

jimthompson5910 (jim_thompson5910):

when I say "parent" function, I'm talking about the most basic form of it before you do any transformations

jimthompson5910 (jim_thompson5910):

example: x^2 is a parent function (x+2)^2 + 7 is a transformed version of the x^2 parent function

OpenStudy (anonymous):

idk

jimthompson5910 (jim_thompson5910):

here's a list of parent functions commonly used http://www.toomey.org/tutor/harolds_cheat_sheets/Harolds_Parent_Functions_Cheat_Sheet_2014.pdf

jimthompson5910 (jim_thompson5910):

they 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

OpenStudy (anonymous):

oh okay so it would be a natural log

jimthompson5910 (jim_thompson5910):

or just log

OpenStudy (anonymous):

k

jimthompson5910 (jim_thompson5910):

I would say that log(x) is the parent of log (x + 4)

OpenStudy (anonymous):

that would be the answer for 1?

jimthompson5910 (jim_thompson5910):

how would you describe the transformation?

OpenStudy (anonymous):

like how it would look on a graph?

jimthompson5910 (jim_thompson5910):

yeah if you want, you can compare the parent function y = log(x) to y = log(x+4)

jimthompson5910 (jim_thompson5910):

how are those two different? how are they similar?

OpenStudy (anonymous):

they both start from a negative y and go up to a positive y moving to a greater number of x value?

OpenStudy (anonymous):

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OpenStudy (anonymous):

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