In this fifth chapter I will show you/explain to you how to graph a quadratic. Quadratics are written as ax2 +bx +c=0 another name for that is standard form. You can determine whether a point is a point that falls on a quadratic parabola (a parabola is in a u or n shape and is not a straight line whatsoever) by using substitution: Substitute the point into the equations and simplify if it makes the equation true, then the point does fall along the parabola, but if it does not make the equation true then it does not fall along the parabola.
How do you solve by using the method table of values? The first thing to do, is to substitute a point for x and find the value of y by simplifying--> combining like terms and distributing terms inside the parenthesis. Then combine the value of x and y as (x,y) and graph the point. To make sure the equation is graphed right, keep graphing more points (the points will be the outcome after they are substituted in for x and the y value is found.) The next step is to connect the points it is recommended at least 6 points be graphed and then connected with a smooth curve. If the “a” is greater than zero (a>0) then it will be upward, but if it is less than zero (a<0) then it will open downward. The vertex will be the highest/ lowest point a parabola.
