:] A parabola with the quadratic function: ax^2 + bx + c N O T I C E: The Notice section contains a LOT of mathematical concepts. Click E to erase pen. Click a to set a to 0. Click B to hide/show the slope of the parabola If A = 0 It becomes a line this is because when a =0 the whole equation simplifies into a linear one. A is the curve of the parabola B is the slope of the parabola-The line it follows. If you want a basic parabola set it to 0 C is the y intercept of the parabola, basically the y position, if you didn't get what I just said, basically how far up or down should the parabola be NOT HEIGHT. The x position is the independent variable. It's already changing by itself so all you have to do is change the other independent variables. The y position is the dependent variable it literally depends on x's value and the other variables' values(A,B,C) to find it's value. A, B, C, are currently variables because you are able to change their value. But once you give them a constant value, the become A and B become coefficients(C becomes whatever). Parabola is a fancy word for a U shaped curve on a coordinate plane. Don't over think it. That erase all button erases the pen. so when you change one of the variables, you'll probably want to erase it unless you are making some kind of rainbow parabola artwork. See that bouncing red dot of there that represents the coordinates that align with the parabola. The pen is there to help you see it. The cross-hair represents the vertex location, it's automatically pointed at the red dot just for fun. The very tip of the parabola is called the vertex. To sum it up if the parabola is point downwards, it's the minimum point of the parabola , if it's pointing upwards then its the maximum point of the parabola. All parabolas have a vertex whether its irrational or not. The equation to find coordinates of a vertex(in the shape of [x,y]) is -b/2a, f(-b/2a)[Apply the function to the x coordinate]. For example if a, b, and c were all 1 then the vertex would be (-1/2, 3/4). That big blue button is self explanatory a can't be zero because the vertex ends up with division by zero. That's why you see Nan which is short for not a number. And a line stretches out to infinity that's why you see that vertex is infinite. The point of set a to zero is to turn the quadratic equation into a linear one. DO NOT OVERTHINK IT. This project took 30 mins to make. The Migraine lasted hours.
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