Investigation of Standard Form

Author:
Oliver Lin
Topic:
Functions
This is a standard form (y=a*x^2+b*x+c) of a quadratic function which it can also be viewed as a polynomical function. Variable a is the slope of the equation, is either stretches or shrinks the graph depending on whether the number is greater than 0 or less than 0. Variable b is more complicated than a; it can either shift the graph vertically or horizontally depending on the value of the number; the shift doesn't seem to be very constant and it is hard to determine how the graph shifts exactly. Varible c is the vertical shift of the graph, when the number gets larger than 0 it shifts the graph upwards, when the number gets smaller than 0 it shifts the garph downwards.