Question

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

Answer 1

Answer:

$2x^{2} +bx-3=0$

Step-by-step 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

$2x^{2} +bx-3=0$