There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations.
Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
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A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
A Quadratic Sequence is when the difference between two terms changes each step. However the secondary difference (the difference between each primary difference.) is always the same. E.G. 6 9 14 21 +3 +5 +7 primary difference.(changes) +2 +2 secondary difference(stays the same) this is not a linear sequence in which the primary difference stays the same. another way to visualise this is on a graph. if you plotted a quadratic sequence onto a graph there would be a curve. a linear sequence would be a straight line. hope this helps. Thanks To harisdagr8 for his help.
Both are polynomials. They are continuous and are differentiable.
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.