Answer:
a. Standard form
b. Vertex form
c. Vertex form
d. Standard form
Step-by-step explanation:
The vertex form of a quadratic equation is y = a·(x - h)² + k
The standard form of a quadratic equation is y = a·x² + b·x + c
Therefore;
a. In order to factor the equation, the vertex form needs to be expanded to the standard form first, to obtain the factors of the equation
b. The parabola is easily graphed with the information on the vertex given in the vertex form of the quadratic equation
c. The vertex, minimum or maximum of the parabola are easily obtained in the vertex form of the quadratic equation
d. The quadratic formula is defined based on the standard form of the quadratic equation