Basically you can graph a function, for example a parabola by following the step pattern 1,35...
If you take the "standard" parabola, y = x², which has it's vertex at the origin (0, 0), then:
<span>➊ one way you can use a "step pattern" is as follows: </span>
<span>Starting from the vertex as "the first point" ... </span>
<span>OVER 1 (right or left) from the vertex point, UP 1² = 1 from the vertex point </span> <span>OVER 2 (right or left) from the vertex point, UP 2² = 4 from the vertex point </span> <span>OVER 3 (right or left) from the vertex point, UP 3² = 9 from the vertex point </span> <span>OVER 4 (right or left) from the vertex point, UP 4² = 16 from the vertex point </span> <span>and so on ... </span>
<span>where the "UP" numbers are the sequence of "PERFECT SQUARE" numbers ... </span>
<span>but always counting from the VERTEX EACH time. </span>
<span>➋ another way you can use a "step pattern" is just as you were doing: </span>
<span>Starting with the vertex as "the first point" ... </span>
<span>over 1 (right or left) from the LAST point, up 1 from the LAST point </span> <span>over 1 (right or left) from the LAST point, up 3 from the LAST point </span> <span>over 1 (right or left) from the LAST point, up 5 from the LAST point </span> <span>over 1 (right or left) from the LAST point, up 7 from the LAST point </span> <span>and so on ... </span>
<span>where the "UP" numbers are the sequence of "ODD" numbers ... </span>
<span>but always counting from the LAST point EACH time. </span>
<span>The reason why both Step Patterns Systems work is that set of PERFECT SQUARE numbers has the feature that the difference between consecutive members is the set of ODD numbers. </span>
<span>For your set of points, the vertex (and all the others) are simply "down 3" from the "standard places": </span>