Answer
a. $f(x) = 2(x+2)^2 + 3$
b. See graph attached below
c. Minimum value = 3
Work Step by Step
$f(x) = 2x^2 + 8x + 11$
a. $f(x) = 2( x^2 + 4x + 4) + 11 - 2(4)$
$f(x) = 2(x+2)^2 + 3$
b. See graph attached below
c. The minimum value is at the vertex, which is at (-2, 3) (from standard form)
Minimum value = 3
