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A quadratic problem

if \(f(x) = (3x^{3c-9}+2)^2\) is a quadratic function, what is \(c\)?

Note by Cedie Camomot
8 months, 3 weeks ago

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I'm not sure but I think c = \( \frac { 10 }{ 3 } \) because a quadratic function should be in a form of \( f\left( x \right) =a{ x }^{ 2 }+bx+c \) and if the exponent of 3x is not 1 then if you square the expression, the result will not be a quadratic function so it should be 1

\( 3c-9=1\\ 3c=10\\ c=\frac { 10 }{ 3 } \)

Once again. I am not sure and I am open for corrections :) Angela Fajardo · 8 months, 3 weeks ago

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