Question

Give an example of a quadratic function. Identify its quadratic term, linear term, and constant term.

Short answer

The quadratic equation is $f\left(x\right)=2x^2+3x+10$.

The quadratic term is 2, linear term is 3 and constant term is 10.

Step-by-step solution

Step 1. Use the concept of quadratic function.

A quadratic function is described by an equation of the following form.

$f\left(x\right)=a{x}^2+bx+c,a\ne 0$

Where,

a is quadratic term

b is linear term

c is constant term

Step 2. Calculation.

A quadratic function is of the form $f\left(x\right)=a{x}^2+bx+c,a\ne 0$

So, consider the quadratic function

$f\left(x\right)=2x^2+3x+10$

Step 3. Conclusion.

Comparing the quadratic function $f\left(x\right)=2x^2+3x+10$with $f\left(x\right)=a{x}^2+bx+c,a\ne 0$, we have

$\begin{array}{l}a=2\\ b=3\\ c=10\end{array}$

So, quadratic term is 2, linear term is 3 and constant term is 10.