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difference between quadratic and exponential
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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.
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 upsidedown (nshaped) 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.
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 upsidedown (nshaped) 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^x1), this is clearly still an exponential function. Generally e^{ax}e^{bx} = e^{x}(e^{(a1)x}e^{(b1)x}), a>b. This should always remain an exponential function.
Answers:It would still be exponential. Example: e^{2x}e^x = e^x(e^x1), this is clearly still an exponential function. Generally e^{ax}e^{bx} = e^{x}(e^{(a1)x}e^{(b1)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
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
From Youtube
Linear Vs. Exponential Functions :This video gives an example of a linear function and an example of an exponential function. I discuss the differences between the two functions in terms of their rates of change. Please forgive the mistake at approx. 4:26 where I state the yintercept as being at 100 rather than 105.
Algebra Applications: Exponential Functions :In this episode of Algebra Applications, students explore earthquakes using exponential models. In particular, students analyze the earthquake that struck the Sichuan Province in China in 2008, months before the Beijing Olympics. This dramatic, realworld example allows students to apply their understanding of exponential functions and their inverses, along with data analysis and periodic function analysis. Segments include: What is an earthquake? The basic definition of an exponential function is shown in the intensity function for an earthquake. Students analyze data and perform an exponential regression based on data from the Sichuan earthquake. What is the difference between earthquake intensity and magnitude? An exponential model describes the intensity of an earthquake, while a logarithmic model describes the magnitude of an earthquake. In the process students learn about the inverse of an exponential function. How is earthquake magnitude measured? An earthquake is an example of a seismic wave. A wave can be modeled with a trigonometric function. Using the TINspire, students link the amplitude to an exponential function to analyze the dramatic increase in intensity resulting from minor changes to magnitude. Go to www.media4math.com for additional resources.