Question

Which of the following is a quadratic function
​

Answer 1

Explanation:

f(x) = 4x² + x - 3

`f(x) = 4x {}^(2) + 3 - 2`

r3t40 is correct

Answer 2

A quadratic a function has a form of,

`f(x)=ax^2+bx+c,a\\eq0`

The first function has a term
`x^3` which doesn't fit the profile of a quadratic function. The highest exponent on x inside a quadratic function can be 2, but here we have 3 so this is not a quadratic function, but rather a cubic function.

The second function fits the form of a quadratic function perfectly.

The third function is a bit tricky. While technically the third function could be considered quadratic if the leading term would be something like
`0x^2` and we did't even see it written out because multiplying with 0. But when we specified the form of a quadratic function, we strictly said that the number before
`x^2` aka
`a` cannot equal to zero. So the last function is not a quadratic function but rather a linear function.

Hope this helps :)