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**+3 **

f(x) = a(x - h)^{2 }+ 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)^{2 }+ 3

**f(x) = (x + 2) ^{2} + 3**

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

hectictar
Mar 23, 2017