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).
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: