What is a quadratic function

👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either face up or down (if x is squared in the equation) or face left or right (if y is squared).

To graph a quadratic equation, we need to know some essential parts of the graph including the axis of symmetry, the vertex and the x-intercepts. The axis of symmetry is a line which divides the parabola into two symmetrical (similar) parts. The axis of symmetry of the graph of a quadratic equation is given by x = (-b/2a).

The vertex of a parabola is the turning point of the parabola. It is the point on the parabola at which the curve changes from increasing to decreasing or vice-versa. The vertex of the graph of a quadratic equation is given by (-b/2a, f(-b/2a)).

The x-intercepts of the graph of a quadratic equation are the points at which the graph crosses the x-axis. the x-interceps are obtained by solving for the quadratic equation when y = 0.

Knowledge of this points helps us to graph a quadratic equation.

Organized Videos:
✅Graph a Quadratic in Standard Form
✅Graph a Quadratic in Standard Form | Learn About
✅Graph a Quadratic in Standard Form | Essentials
✅Find the Parts of a Parabola
✅Graph a Quadratic in Standard Form | ax^2+bx+c
✅Graph a Quadratic in Standard Form | x^2+bx+c
✅Graph a Quadratic in Standard Form | ax^2+bx
✅Graph a Quadratic in Standard Form | ax^2+c
✅Graph a Quadratic in Standard Form | ax^2

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