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parkerduncan1230
17.09.2019 •
Mathematics
Which represents a quadratic function?
f(x) = 2x^3 + 2x^2 – 4
f(x) = –7x^2 – x + 2
f(x) = –3x + 2
f(x) = 0x^2 + 3x – 3
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Ответ:
Only function (2) is quadratic function.
Step-by-step explanation:
Quadratic function is a function which involves the second higher power of an unknown quantity or variable.
In general form, quadratic function is represented as,
where a,b,c are real numbers and ![a\neq0](/tpl/images/0237/6044/9aadd.png)
Thus, from the given function
1)![f(x) = 2x^3+2x^2-4](/tpl/images/0237/6044/ef76d.png)
Since it has highest degree 3 , so it cannot be a quadratic function.
2)![-7x^2-x+2](/tpl/images/0237/6044/e0f09.png)
This is a quadratic function, as it of the form
where
a = -7, b = -1 , c= 2 and![a\neq0](/tpl/images/0237/6044/9aadd.png)
3)![f(x) =-3x+2](/tpl/images/0237/6044/8703a.png)
No, it is not a quadratic function as the highest power is 1.
4)![f(x)=0x^2+3x–3](/tpl/images/0237/6044/cd1d0.png)
We can rewrite the given function as ,
as 0 multiply with anything is zero. So, it is not a quadratic function as the highest power is 1.
Thus, only function (2) is quadratic function.
Ответ:
= 2m + 7
hope it helps