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If y=x26x+11 is written in the form \(y = a(x ...

If y=x26x+11 is written in the form y=a(xh)2+k, find the value of (a+h+k).

A.

-4

B.

-3

C.

0

D.

6

Correct answer is D

y=x26x+11

y=a(xh)2+k

a(xh)2+k=a(x22hx+h2)+k

ax22ahx+ah2+k=x26x+11

Comparing, we have

a=1

2ah=62h=6;h=3

ah2+k=11(1×32)+k=11

9+k=11k=2

a+h+k=1+3+2=6