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Byju's Answer
Standard XII
Mathematics
Definition of Function
If the diagra...
Question
If the diagram in figure shows the graph of the polynomial
f
(
x
)
=
a
x
2
+
b
x
+
c
,
then
A
a
>
0
,
b
<
0
and
c
>
0
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B
a
<
0
,
b
>
0
and
c
<
0
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C
a
<
0
,
b
>
0
and
c
>
0
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D
a
<
0
,
b
<
0
and
c
<
0
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Solution
The correct option is
A
a
>
0
,
b
<
0
and
c
>
0
Curve
a
x
2
+
b
x
+
c
intersects x-axis at two points and curve is upward.
a
>
0
,
b
<
0
and
c
>
0
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0
Similar questions
Q.
If the diagram in Fig. 2.22 shows the graph of the polynomial f(x) = ax
2
+ bx + c, then
(a) a > 0, b < 0 and c > 0
(b) a < 0, b < 0 and c < 0
(c) a < 0, b > 0 and c > 0
(d) a < 0, b > 0 and c < 0