A quadratic can be written in both vertex and standard form. Which form would be most helpful for each of the following tasks?
Factoring the equation
graphing the parabola
identify the vertex, minimum, maximum of the vertex
solve the equation using the quadratic formula
- Factoring the equation: The standard form of a quadratic equation would be most helpful for factoring, as it allows for easy identification of the factors of the equation.
- Graphing the parabola: The vertex form of a quadratic equation would be most helpful for graphing, as it provides direct information about the vertex of the parabola.
- Identifying the vertex, minimum, maximum of the vertex: The vertex form of a quadratic equation would also be most helpful for identifying the vertex, minimum, and maximum of the vertex, as it explicitly provides the vertex coordinates.
- Solving the equation using the quadratic formula: The standard form of a quadratic equation would be most helpful for solving the equation using the quadratic formula, as it allows for direct substitution into the formula.