Math: Quadratic Relationship
How to graph a parabola?
To graph a parabola you use something called a "step pattern". The step pattern is the easiest way to graph a parabola but there are others ways which I am not going to explain such as the mapping notation.
First of all you should graph the vertex which is the h and k value also the maximum or minimum value of the vertex.
Afterwards you can use the step pattern which is simple and focuses on the "a" value.
Example:
y=3(x-2)²+5 Graph the vertex: (2,5)
Use the step pattern:
1xa=? The step pattern multiplies
3xa=? the a value 3 times by 1, 3
5xa=? and 5
1x3=3 After doing this you
3x3=9 basically what ever the
5x3=15 answer is (in this case it's 3,9, and 15) and go up by that value from the vertex. If the value when multiplied by "a" is negative then go down from the vertex. After graphing the first number 3 go one point to the left and right on the x-axis. After graphing the second number go 3 points to the left and right. After graphing the third number (usually won't be able to graph) go 5 points to the left and right.