Question

polynomial operations reteach (teacher manually grades)
which function is an example of a quadratic function?
$\bigcirc x=4$
$\bigcirc y=2x-7$
$\bigcirc y=x^4-2x^3+4$
$\bigcirc y=x^2+5$

Explanation:

Step1: Recall quadratic function definition

A quadratic function has the form $y=ax^2+bx+c$ where $a
eq0$, meaning its highest degree is 2.

Step2: Analyze each option

• $x=4$: Constant function, degree 0.
• $y=2x-7$: Linear function, degree 1.
• $y=x^4-2x^3+4$: Quartic function, degree 4.
• $y=x^2+5$: Degree 2, matches quadratic form.

Answer:

$\boldsymbol{y = x^2 + 5}$