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The parent function f(x) = x^2 is translated 2 units left and 3 units up. Write the quadratic function in vertex form (f(x) = a(x-h)^2+k).

gobromash  Mar 23, 2017
 #1
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f(x) = a(x - h)+ k

h controls shifting left and right. We want to make a - 2 shift.

k controls shifting up and down. We want to make a + 3 shift.

a controls "steepness" basically. We just want normal steepnees of 1.

f(x) = 1(x - -2)+ 3

f(x) = (x + 2)2 + 3

 

This gives a really good idea of what a, h, and k do:

http://www.mathopenref.com/quadvertexexplorer.html

hectictar  Mar 23, 2017

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