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Sagot :
Answer:
○ [tex]y = 6 + 5x + x^2[/tex]
Explanation:
What is a quadratic equation?
A quadratic equation is an algebraic equation where the highest power of [tex]x[/tex] is 2. The general form of a quadratic equation is as follows:
[tex]\boxed{ax^2 + bx + c = 0}[/tex],
where a, b, and c represent known constants, and [tex]x[/tex] 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:
[tex]y = 6 + 5x + x^2[/tex]
⇒ [tex]y = x^2 + 5x + 6[/tex]
Therefore, this equation is quadratic.
The other three options are not quadratic equations because none of them have an [tex]x^2[/tex] term in them.
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
[tex]\leadsto[/tex] A quadratic equation is an algebraic equation of the second degree. The formula is:
▪ [tex]\longrightarrow \sf{y = ax^2 + bx + c}[/tex]
This can also be written as:
▪ [tex]\longrightarrow \sf{y = c + bx+ax^2}[/tex]
Comparing the equation above with each of the options, the equation that represents a quadratic function is:
[tex]\longrightarrow \sf{y=6+5 + x^2}[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
◉ [tex] \large\bm{b. \: y=6+5x + x^2}[/tex]
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