A linear equation in standard form will be
Ax + By = C or in some books Ax + By + C = 0
where A, B, and C are real numbers such as
3x + 3y = 18
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Normally a quadratic equation will graph out into a parabola. The standard form is f(x)=a(x-h)2+k
It is still called a quadratic equation!
'Standard form' in algebra refers to a way of structuring (phrasing) an equation: Ax+By=C. 'Three tenths' is not an equation, though it may be part of the solution to an equation.
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the standard form of the equation of a parabola is x=y2+10y+22