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Nature of Roots

If a < 0, t...

Question

If $a < 0$ , then the function $f (x) = a x^{2} + b x + c$ has

maximum value

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minimum value

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constant value

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positive value

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Solution

The correct option is D maximum value
The graph of a quadratic equation is parabola.
If $a < 0$ , then the parabola opens downward. If the parabola opens downward, then the vertex is the point whose $y$ -value is the maximum value of $f$

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Similar questions

a < 0

f (x) = a x^{2} + b x + c

k \in R

a x^{2} + b x + c = 0, a < 0

f (x) = a x^{2} + b x + c = 0

f (k)

&

ϵ

f (x) = a x^{2} + b x + c

(a > 0)

y = f (x) = a x^{2} + b x + c,

f (α) = 0

x, f (x) < 0.

a

D

f (x) = a x^{2} + b x + c

a + b + c < 0

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