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Byju's Answer
Standard XI
Mathematics
Graph of Quadratic Expression
If the graph ...
Question
If the graph of quadratic polynomial
a
x
2
+
b
x
+
c
is
then which of the following is/are correct?
A
a
>
0
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B
b
<
0
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C
c
>
0
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D
D
<
0
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Solution
The correct option is
D
D
<
0
The graph is an upward parabola so
a
>
0
As it doesn't touch
x
−
axis so
D
<
0
The
x
−
coordinate of vertex is
−
b
2
a
>
0
⇒
b
<
0
And
f
(
0
)
>
0
⇒
c
>
0
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Similar questions
Q.
If graph of quadratic polynomial ax
2
+ bx + c cuts positive direction of y-axis, then what is the sign of c?