The options \(f(x) = -7x2- x^2=-8x^2\) and \(f(x) = -3x^2\) represent a quadratic function.
Quadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: \(ax^2+bx+c\), where a,b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (\(a
eq 0\)) and the degree the function must be equal to 2.
Therefore for solving this question, you should select the equation that presents the standard form for a quadratic function, or the degree to the function must be equal to 2.
1. Option 1
- \(f(x) = 2x^3+ 2x^2-4\) - The
- degree of the function
- is
- not 2
- . This function presents degree 3. It is a
- cubic function
- because your degree is equal to 3.
2. Option 2
\(f(x) = -7x2- x^2=-8x^2\) - Although the equation is not in the standard form, we have the coefficient \(a
eq 0\) and degree 2. It is a quadratic function.
3. Option 3
\(f(x) = -3x^2\) - Although the equation is not in the standard form, we have the coefficient \(a
eq 0\) and degree 2. It is a quadratic function.
4. Option 4
\(f(x) = 0x^2+3x-3\) - The equation presents the coefficient a=0, also your degree is 1. It is a linear function because your degree is equal to 1.
The options \(f(x) = -7x2- x^2=-8x^2\) and \(f(x) = -3x^2\) represent a quadratic function.
Read more about a quadratic function here:
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