which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3?
f(x) = 2x3 – 3
f(x) = –3x2 – 3x + 2
f(x) = –3x3 + 2
f(x) = 2x2 + 3x – 3

A quadratic function with a leading coefficient of 2 and a constant term of –3 is f(x) = 2x² + 3x – 3.

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, cubic, quadratic and so on.

A quadratic is a polynomial of degree 2, and in the form:

y = ax² + bx + c

A quadratic function with a leading coefficient of 2 and a constant term of –3 is f(x) = 2x² + 3x – 3.

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D . f(x) =2x²+3x-3

Step-by-step explanation:

Given the equation as

f(x)=2x²+3x-3

The leading coefficient is in the term with the highest power , x², which is 2

The constant term is -3

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

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