In a quadratic function, [tex]f(x)= ax^2+bx+c[/tex] the leading coefficient is [tex]a[/tex], i.e. the coefficient of [tex]x^2[/tex], and the constant term is [tex]c[/tex], i.e. the coefficient without any power of [tex]x[/tex].
So, if you want leading coefficient 2 and constant term -3, your function needs to be like
[tex]f(x)=2x^2+bx-3[/tex]
for any value of [tex]b[/tex]. Among your options:
- The first is not a quadratic (it starts with [tex]x^3[/tex])
- The second has leading term -3 and constant term 2
- The third is not a quadratic (same as the first)
- The last is correct.
