Step-by-step explanation:
[tex]f(x) = 2( x - 4) ^{2} + 2 \\ f(x) = 2({x}^{2} - 8x + 16) + 2 \\ f(x) = 2 {x}^{2} - 16x + 32 + 2 \\ f(x) = 2 {x}^{2} - 16x + 34[/tex]
