Steps You take an equation like …. y= (x+2)(x-1)(x-3) Then you graph the points 2,1, and 3 With the opposite signs of the equation So they would be -2, +1, and +3 Once you graph the points you determine whether the line with be a “pass through” a “bounce off” or a “squiggle through”
Definitions A Pass through is when a line that goes straight through the point A bounce off is a when a line comes up and touches the point but then turns around after it touches A squiggle through is when a line goes through a point but when at the point the line goes flat on the point and then goes the rest of the way through
Examples Pass through Bounce off Squiggle through
To determine the line If the one of the parentheses has no exponents or an exponent of 1then the line will be a pass through If one of the parentheses has an exponent of 2 then the line will be a bounce off And if one of the parentheses has an exponent of 3 or above the line will be a squiggle through.
Degree The degree is all the exponents added up. If the number is an even number then the ends of the line goes up. If the number is an odd number then the ends of the line has one end going down and the other going up.
Degree cont. If the degree is and negative number, meaning at the beginning of the equation if there is a negative sign – then the arrows change. For an even number the arrows go down. For an odd number the arrows switch.
Now you graph the equation Example y= -(x-1)^3(x+3)^2(x-3)