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zay12350
03.12.2019 •
Mathematics
Which represents a quadratic function?
f(x) = −8x^3 − 16x^2 − 4x
f (x) = 3/4 x ^2 + 2x − 5
f(x) = 4/x^2 - 2/x + 1
f(x) = 0x^2 − 9x + 7
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Ответ:
ax² + bx + c = 0, where a ≠ 0.
The first option is not quadratic, it is a cubic, it has highest power of 3.
The second option f (x) = 3/4 x ^2 + 2x − 5, is quadratic, that is the answer.
The third f(x) = 4/x^2 - 2/x + 1, doesn't qualify because of the 2/x.
The last f(x) = 0x^2 − 9x + 7 , doesn't qualify because of the a = 0, and the rule is that a ≠ 0.
Therefore f (x) = 3/4 x ^2 + 2x − 5 represents a quadratic function.
I hope this helps.
Ответ:
a quadratic function has y=ax²+bx+c with a!=0 for equation.
Thus the only answer is f(x)=3/4 x²+2x-5
Ответ: