Graphing Quadratic Equations in All Forms

A quadratic equation is a polynomial equation of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

The vertex is the highest or lowest point of the parabola, depending on its orientation.

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.

The y-intercept is the point where the graph intersects the y-axis, found by evaluating f(0) in the function.

The standard form of a quadratic equation is y = ax² + bx + c.

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex.

The 'c' value represents the y-intercept of the quadratic function.

If 'a' is positive, the function has a minimum value; if 'a' is negative, it has a maximum value.

The zeroes (or roots) are the x-values where the function intersects the x-axis, found by solving the equation y = 0.