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  • The range of    isOption: 1 <img alt="\left ( 4,\infty \right

The range of  y=2x^{2}-4x+9  is

Option: 1

\left ( 4,\infty \right )


Option: 2

\left [ 7,\infty \right )


Option: 3

\left ( -\infty,\infty \right )


Option: 4

\left ( -\infty,7 \right )


Answers (1)

best_answer

As  a> 0 , so range :\left [ \frac{-D}{4a},\infty\right )

a=2,b=-4,c=9\\

D=b^{2}-4ac=16-4\left ( 2 \right )\left ( 9 \right )\\  =16-72\\  =-56\\

Range     : \left [ \frac{-D}{4a},\infty \right )\\

             =\left[ \frac{-\left ( -56 \right )}{4\cdot 2},\infty \right )\\

             =\left [ \frac{56}{8},\infty \right )=\left [ 7,\infty \right )

Posted by

Rishabh

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