GRAPHING EQUATIONS



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Graphing linear equations
Use slope-intercept form: y=mx+b
    where b = y intercept
    and m = slope
The y intercept of a line is the y value at which the line crosses over (or intercepts) the y axis. Here, b=-1
The slope of a line is equal to the rise over run from one point on the graph to another. Counting from (0,-1) to (1,1), the rise is +2 and the run is +1. This makes the slope=2/1, so m=2
Using y=m*x+b, our equation of the line is y=2*x-1
Take Linear Graphing Test


Graphing Quadratic equations
Use the standard form y = ax^2 + bx + c
    where -b/(2a) is the axis of symmetry
y=2*x^2+4*x+1
The graph of a quadratic equation is called a parabola. The smaller the value a, the wider the parabola. The parabola opens upward when a is positive and downward when a is negative.
The c term shifts the graph upwards or downwards.




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