You visited us 1 times! Enjoying our articles? Unlock Full Access!

Graph of Quadratic Expression

Which of the ...

Question

Which of the following represents the graph of $f (x) = a x^{2} + b x + c$ where $a < b < 0 < c$ ?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
Given $f (x) = a x^{2} + b x + c$ and $a < b < 0 < c$
Now, as $a < 0$ , so downward opening parabola
$f (0) = c \Rightarrow f (0) > 0$

Hence, the possible graph in the given options is

Suggest Corrections

Similar questions

f (x) = a x^{2} + b x + c, w h e r e a \neq 0.

| y | = f (x),

f (x) = a x^{2} + b x + c; b & c ϵ R; a \neq 0,

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

g (x) = A x^{2} + b x + λ,

a \neq 0, A \neq 0, a, b, c, A, λ \in R

f (x) = 0

g (x) = 0

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

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

Join BYJU'S Learning Program