Problem 77 · Pencils Down Labs

PD0049 · Problem 77

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Problem

In the function

f(x) = a(x-3)^2 + k

a

and

k

are constants with

a < 0

and

k < 0

. The function

g

is defined by

g(x) = f(x) + c

, where

c

is a positive constant. If the graph of

y = g(x)

in the

xy

-plane has distinct

x

-intercepts, which of the following must be true?

Choose an answer for problem 77

c + k > 0

c + k < 0

c + k = 0

c - k < 0

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