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Byju's Answer
Standard XII
Mathematics
Plotting Graph of Quadratic Equation
Which of the ...
Question
Which of the following represents the graph of
f
(
x
)
=
a
x
2
+
b
x
+
c
where
a
<
b
<
0
<
c
?
A
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B
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C
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D
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Solution
The correct option is
B
Given
f
(
x
)
=
a
x
2
+
b
x
+
c
and
a
<
b
<
0
<
c
Now, as
a
<
0
, so downward opening parabola
f
(
0
)
=
c
⇒
f
(
0
)
>
0
Hence, the possible graph in the given options is
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0
Similar questions
Q.
Figure 2.23 show the graph of the polynomial f(x) = ax
2
+ bx + c for which
(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