Week 8/Standard Form-Graphing

When your given an equation in General form, there isn’t enough information to easily graph just by looking at it. Your first step is to change the equation into Standard Form. To change a linear equation into Standard Form you can complete the square giving an answer presented into standerd form.

Note: Standared form is presented in a way to graph linear equations easily.

Example: y=x^2-4x+1

Standared form: y=(x-2)^2-3

After the equation has been changed into Standared Form the equation y=(x-2)^2-3 tells you everything you need to know to graph the equation. The equation is represented by y=a(x-b)^2-c, where A tells you if the parabola opens up or down and if it is congruent to x^2, B tells you where to move on the x axis, well c tells you where to move on the y axis.

Those are the basics to graphing and algebraically changing linear equations to standard form.

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