Problem 199 · Pencils Down Labs

PD0134 · Problem 199

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Problem

The function

f

is defined by the equation

f(x) = \frac{1}{4}x^2 + bx + c

where

b

c

are constants and

c > 0

. The graph of

y = f(x)

in the

xy

-plane is a parabola that has vertex

(h,k)

, where

k

is a negative constant. Which of the following must be true?

$h^2 > 4c$
$b^2 < c$

Choose an answer for problem 199

I only

II only

I and II

Neither I nor II

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