Question

Which of the following represents a quadratic function?

Answer 1

Answer:

○ $y = 6 + 5x + x^2$

Explanation:

What is a quadratic equation?

A quadratic equation is an algebraic equation where the highest power of $x$ is 2. The general form of a quadratic equation is as follows:

$\boxed{ax^2 + bx + c = 0}$,

where a, b, and c represent known constants, and $x$ is the unknown.

In this question, if you take a look at the second option, you will see that it is possible to rearrange the equation to make it look the general form:

$y = 6 + 5x + x^2$

⇒ $y = x^2 + 5x + 6$

Therefore, this equation is quadratic.

The other three options are not quadratic equations because none of them have an $x^2$  term in them.

Answer 2

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

$\leadsto$ A quadratic equation is an algebraic equation of the second degree. The formula is:

▪ $\longrightarrow \sf{y = ax^2 + bx + c}$

This can also be written as:

▪ $\longrightarrow \sf{y = c + bx+ax^2}$

Comparing the equation above with each of the options, the equation that represents a quadratic function is:

$\longrightarrow \sf{y=6+5 + x^2}$

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

◉ $\large\bm{b. \: y=6+5x + x^2}$