Answer:
Second option: [tex]f(x) =-7x^2 -x + 2 [/tex]
Step-by-step explanation:
A quadratic function has the form:
[tex]f(x)=ax^2+bx+c[/tex]
(Where [tex]a\neq0[/tex])
You can observe that the highest exponent of a quadratic function is 2.
Then, let's check which of the options shows a quadratic function:
1) [tex]f(x) = 2x^3 + 2x^2 - 4[/tex]
Its highest exponent is 3, then this is not a quadratic function.
2) [tex]f(x) =-7x^2 -x + 2 [/tex]
Its highest exponent is 2 and [tex]a\neq0[/tex], then this is a quadratic function.
3) [tex]f(x) = -3x + 2[/tex]
Its highest exponent is 1, then this is not a quadratic function.
4) [tex]f(x) =0x^2+3x-3[/tex]
You can observe that [tex]a=0[/tex], then this is not a quadratic function.
