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# difference between quadratic and exponential

Question:Thank you

Answers:parabola is the actual picture on a graph in the shape of a U. quadratic is an equation that represents points on the parabola.

Question:Hey answeres, I need to know what the difference between the standard form of a quadratic equation and the factored form of the quadratic equation? Examples: Standard Form of a Quadratic Equation is: F(x) = ax^2 + bx + c Factored Form of a Quadratic Equation is: F(x) = a (x - r) (x - s) Also, can you tell me how to determine if a parabola is going to be shaped up or down? Thanks a lot in advance, I really appreciate it. PB49

Answers:The difference is zero, if you do it right :-) Seriously, they are just different ways of writing the same thing. The factorised form gives you the roots much easier, though. The curve is upside-down (n-shaped) if the coefficiant of x^2 (a) is negative. @Richelle: Why? Everyone has questions at one point or another. It's a perfectly reasonable thing to ask.

Question:If you subtract a smaller exponential function from a bigger exponential one, is the resulting data set exponential or lineair?

Answers:It would still be exponential. Example: e^{2x}-e^x = e^x(e^x-1), this is clearly still an exponential function. Generally e^{ax}-e^{bx} = e^{x}(e^{(a-1)x}-e^{(b-1)x}), a>b. This should always remain an exponential function.

Question:

Answers:Linear functions are lines... y=ax + b Absolute value is two lines: y=x for x>=0 and y = -x for x <0 Quadratic functions are parabola growing and decreasing y = ax^2 +bx + c Cubic functions are only growing or only decreasing y = ax^3