Question

The function of the form:
f (x) = 4x² -16x +19
Show that
f (x) = 4 (x-2) 2 + 3

Answer 1

$f(x) = 4 {x}^{2} - 16x + 19 \\ = (4 {x}^{2} - 16x + 16) + 3 \\ = 4( {x}^{2} - 4x + 4) + 3 \\ = 4 {(x - 2)}^{2} + 3$