which represents a quadratic function?\n○ (f(x)=2x^{3}+2x^{2}-4)\n○ (f(x)= - 7x^{2}-x + 2)\n○ (f(x)=-3x +…

Explanation:

Step1: Recall quadratic - function form

A quadratic function is of the form $f(x)=ax^{2}+bx + c$, where $a\neq0$, $b$, and $c$ are real - numbers.

Step2: Analyze each option

• For $f(x)=2x^{3}+2x^{2}-4$, the highest power of $x$ is 3, so it is a cubic function, not quadratic.
• For $f(x)=-7x^{2}-x + 2$, here $a=-7\neq0$, $b=-1$, $c = 2$, which is in the form of a quadratic function.
• For $f(x)=-3x + 2$, the highest power of $x$ is 1, so it is a linear function, not quadratic.
• For $f(x)=0x^{2}+3x - 3=3x - 3$ (since $0x^{2}=0$), the highest power of $x$ is 1, so it is a linear function, not quadratic.

Answer:

$f(x)=-7x^{2}-x + 2$