Learn how to convert to vertex form by completing the square and then graph, y=x^2+4x+7

👉 Learn how to graph quadratic equations by completing the square. 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 vertex. 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.

Given a quadratic equation in standard form, we obtain the vertex of the equation by using the process of completing the square to rewrite the equation in the vertex form and hence extract the vertex of the parabola formed by the equation. Knowing the vertex of the graph and the parent graph, we can then apply the required transformation to obtain the required graph.

Organized Videos:
✅How to graph a Quadratic in Vertex Form
✅Identify the Vertex of a Quadratic
✅Complete the Square then Graph | Hard
✅Complete the Square then Graph | Easy
✅Graph a Quadratic in Vertex Form with Vertical Shift Only
✅Graph a Quadratic in Vertex Form with Stretch and Compression
✅Graph a Quadratic in Vertex Form with Horizontal Shift Only
✅Graph a Quadratic in Vertex Form | Learn about
✅Graph a Quadratic in Vertex Form with Horizontal and Vertical Shifts

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