Problem 279 · Pencils Down Labs

PD0219 · Problem 279

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Problem

The function

f(x) = |x - h| + k

has its vertex at

(h, k)

where

h > 0

and

k < 0

. A new function is defined as

g(x) = -f(x + 2h) - 2k

. If

f(a) = 0

and

g(b) = 0

, where

a > h

and

b > -h

, what is the value of

a + b

Choose an answer for problem 279

0

h

2h

-4k

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