What can be the shape of graph of y - 2 x-2 - bx - c where nbsp-b- c -

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Graphs of Quadratic Equation for different values of D when a>0

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

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

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

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