Question

Which represents a quadratic function?

f(x) = −8x3 − 16x2 − 4x
f (x) = three-quarters x 2 + 2x − 5
f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1
f(x) = 0x2 − 9x + 7

Answer 1

Answer:

$f(x) = \frac{3}{4} {x}^{2} + 2x - 5 \: \: \: \\ is \: a \: quadratic \: equation$

hope it helps

Answer 2

Answer:

$\frac{3}{4}x^2 + 2x - 5$

Step-by-step explanation:

A polynomial with second degree is called a quadratic function.

Degree of polynomial : is the highest exponent of the monomial (single term ) of a polynomial,

Since,

$-8x^3 - 16x^2 - 4x$ has degree 3.

So, it is not a quadratic function,

$\frac{3}{4}x^2 + 2x - 5$ has degree 2.

So, it is a quadratic function,

$\frac{4}{x^2}-\frac{2}{x}+1$ is not a polynomial.  ( because degree of terms in a polynomial is always a whole number )

So, it is not a quadratic function,

$0x^2 - 9x + 7$ has degree 1.

So, it is not a quadratic function,

Note : we can not consider the degree of term with zero coefficient while finding the degree of a polynomial.

#Learn more :

Find degree of a polynomial,

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