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Butoxors [25]
2 years ago
5

Which of the following represents a quadratic function?

Mathematics
2 answers:
Lubov Fominskaja [6]2 years ago
3 0

<u>Answer:</u>

○ y = 6 + 5x + x^2

<u>Explanation:</u>

<h3>What is a quadratic equation?</h3>

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 <em>a</em>, <em>b</em>, and <em>c</em> 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.

Neporo4naja [7]2 years ago
3 0

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

\leadsto A <em>quadratic equation</em> 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}

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