Math, asked by MisterIncredible, 2 months ago

Solve this please ? with explanation !!

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Answered by SiyaXo
5

Step-by-step explanation:

upward turned graph have always a positive

so, a +ve

given f(x) = ax² + bx + c

f(0) = c

at origin graph cut at negative hence

c -ve

as A is -ve

-b/2a is -ve

and a is +ve

b must ve been +ve

it really took me efforts to type all this do mark me brainliest

Answered by ExploringMathematics
50

\textrm{In a quadratic equation ax$^2$ + bx + c :}

\longrightarrow\textrm{If a  is positive, parabola points upwards in the graph}

\longrightarrow\textrm{If a is negative, parabola points downward}

\bigstar\textrm{ c is the y-intercept}

\longrightarrow\textrm{If c is positive the y-intercept is positive}

\longrightarrow\textrm{If c is negative the y-intercept is negative}

\textrm{You can find the sign of b from the coordinates of the minimum point on the graph }\longrightarrow\textrm{From the graph,since it is an upward parabola, a will be positive}

\textrm{Also from the graph,} \textrm{the lowest point is in the IVth quadrant where the x coordinate will be positive}

\rm{-b/2a \rightarrow \textrm{ positive }\quad \textrm{, a is also positive}}

\rm{-b}/(+i v e) \rightarrow(+i v e)\implies-b \rightarrow(+i v e) \times(+i v e)\implies-b \rightarrow(+i v e)}

\rm{Here\: as\:  you \: can\: see\:  for \: the \: sign \: of\:  L H S \: to \: be\:  equal\:  to \: the\:  sign\:  of \: R H S\: sign \: of\: b\: must\:  be \: negative}

\textrm{From the graph y-intercept(the point where the graph cuts the y-axis) is negative}

\longrightarrow\textrm{Therefore the sign of c is negative}

\textbf{Therefore, Option (B)   (+ive)    (-ive)   (+ive)  is the correct answer}

 

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