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ella [17]
3 years ago
6

Which represents a quadratic function ?

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0

Answer:

\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form f = ax^2 + bx + c, where a\neq 0

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of x^2 is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

zepelin [54]3 years ago
7 0

Answer:

b

Step-by-step explanation:

lol dude answered it already

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Step-by-step explanation:

(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)

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-----------------------------------

-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4

In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.

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