Parabolic Graphing
The standard type of a quadratic equation is y=ax² + bx + c , where a, b, and c are real numbers, and that a can never equal 0. Each term in the condition has its own significance. The vertex of the parabola is its highest or lowest point. A determines the size of the parabola, b determines the x-int, and c determines the y-int. The vertex may be a minimum point or a maximum. If a is less than 0, than the vertex would be a maximum and the parabola would open downwards. If a is bigger than 0, than the vertex would be the minimum and the parabola would open upwards. The axis of symmetry is the line that runs vertically through the vertex, showing the starting point on a line when the parabola has moved away from the original graph lines. The domain would be all possibilities than run along the x-axis, the range would be all possibilities that run along the y-axis. The Parabola can be of different sizes and different directions(up or down), depending on the a value. 4x² would produce a more compressed parabola in the upwards direction, while 1/4x² would give a wider parabola.
Here is some help. https://www.youtube.com/watch?v=7QMoNY6FzvM
