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Graphs of Quadratic Equation for Different Values of D When a>0

What can be t...

Question

What can be the shape of graph of $y = 2 x^{2} + b x + c$ where $b, c \in R$ ?

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Solution

The correct option is B

$y = 2 x^{2} + b x + c$
As $a > 0$ , the graph of given quadratic expression must be upward (cup) shaped.
So, the possible shape of the graph is:

Note that if $a < 0$ in $a x^{2} + b x + c$ , graph will look be a downward parabola(cap) shaped.

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Similar questions

What can be the shape of graph of $y = 2 x^{2} + b x + c b, c ϵ R$

y = a x^{2} + b x + c (a \neq 0)

a, b, c \in R

a b c > 0

y = a x^{2} + b x + c = 0

A = {(x, y) \in R \times R | 2 x^{2} + 2 y^{2} - 2 x - 2 y = 1},

B = {(x, y) \in R \times R | 4 x^{2} + 4 y^{2} - 16 y + 7 = 0}

C = {(x, y) \in R \times R | x^{2} + y^{2} - 4 x - 2 y + 5 \leq r^{2}}

| r |

A \cup B \subseteq C

P (x)

x^{3} + a x^{2} + b x + c,

a, b, c \in R .

P (- 3) = P (2) = 0

P^{'} (- 3) < 0,

c

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