Question

Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3?

Answer 1

`2x^(2) +bx-3=0`

Explanation:

General form. A quadratic function
`f(x)` is of the form
`(ax^2+bx+c)` where
`a,b,c` ∈ R or C and
`a` ≠
`0`.

We obtain an equation when
`f(x)=0`

⇒
`ax^(2) +bx+c=0` is an quadratic equation.

Solution.

Given,
`a=2,c=-3`, but b is not given

Thus the quadratic function with leading coefficient
`a=2` and constant term
`c=-3` is given by

`f(x)=2x^(2) +bx-3`

∴ the required quadratic equation is

`2x^(2) +bx-3=0`