By: Ahmed Mohamed
What is Quadratics?
The components of a parabola
1)The curve:this is the curve of the parabola
2)The axis of symmetry:This is a line that goes through the center of the parabola
3)The X-intercept: This is where the parabola intersects the x axis. there can be 1, 2 or 0 depending on the position.
4)The y-intercept: This is where the parabola intersects the y axis. there can be 1 or none depending on the position
5)The Vertex: This is either the highest or lowest point of the parabola, depending on the direction of the opening.
1.How to find the vertex in vertex form
y=a(x-h)2+k, and taking the opposite of it and making that the x-value. Then you take the k value in y=a(x-h)2+k, and make that the y-value. For example for the relation y=2(x-5)2+7, the vertex of the parabola would be (5,7).
Locating the AOS
How to calculate the step pattern of a graph
The four transformations of a parabola
y=2(x-5)2+7 the parabola is moved upwards by 7 and if was -7 it would be lowered by 7. The fourth and final is the - sign. This determines if the parabola has a max or min vertex(if it faces up or down).
The second Quadratic relation form
The types of factoring
5)Difference of squares