Yes.
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A quadratic relationship is a mathematical relationship that can be expressed by a quadratic formula in which the highest exponent is two (i.e., x squared). On a graph, this relationship will look like a parabola.
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.
x2 + 3x + 4 This is quadratic because the highest exponent of x is 2, and it is an expression because there is no equals sign.
degree is the power of variable.. in polynomial it is the highest power of the variable, in differential equations it is the highest derivative, etc..