EuroNerd77 said:What would you do to the equation in order to rotate it? I need an equation to do this.
A parabola is a U-shaped curve that can be described by the equation y = ax^2 + bx + c, where a, b, and c are constants. It is symmetrical about a line called the axis of symmetry.
To graph a parabola that is not parallel to the y-axis, you will need to use the general form of the equation, y = ax^2 + bx + c. Then, you can plot points by choosing values for x and solving for y. Alternatively, you can use the vertex form, y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.
The vertex of a parabola is the point where the axis of symmetry intersects the curve. It is also the highest or lowest point on the parabola, depending on the direction of the curve.
The direction of a parabola can be determined by looking at the coefficient of the x^2 term in the equation. If the coefficient is positive, the parabola opens upwards and if it is negative, the parabola opens downwards.
No, a parabola can only intersect the x-axis at two points. This is because the axis of symmetry divides the parabola into two equal halves, and the curve cannot cross the axis of symmetry more than twice.