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How can you determine if a function is a quadratic function from its equation?

User JSuar
by
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2 Answers

1 vote
A quadratic function is a polynomial of degree 2.
Therefore if a function is a quadratic function, it should have the term
x^(2) in its expression.

A quadratic function has the form

f(x) = a x^(2) + bx + c
where
a, b, and
c are constants.

Although
b and/or
c can be zero,
a should not be zero.
User David Roundy
by
8.1k points
6 votes
Any quadratic equation always comes in the form

a x^(2) +bx+c=0

where a, b, and c are constant.

few examples;

x^(2) +3x+4=0
where
a=1,
b=3, and
c=4


-4 x^(2) -9x+5=0
where
a=-4,
b=-9, and
c=5


35 x^(2) -56x=198
At first, this equation doesn't look like a quadratic equation but with a little rearranging, it will.

35x^(2)-56x-198=0


(x-5)(x+7)
This form also needs to be manipulated to get the quadratic form; by multiplying out we have
x^(2) +2x-35
User Cristian Toma
by
8.5k points

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