Aquadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more if you needed to do each task listed below and explain why.
a- factor the equation b- graph the parabola c-identify the vertex min or max of the parabola d- solve the equation using the quadratic formula

The correct answers are:
A) standard form;
B) vertex form;
C) vertex form;
D) standard form.

Explanation:
A) In order to factor the quadratic function, we need to have it listed in standard form, ax²+bx+c.
This is because we need to find factors of a*c that sum to b, and in vertex form, we cannot see that.

B) Vertex form gives us the vertex, which is the maximum or minimum. Based on the coefficient before the parentheses, we know whether the graph will open upward or downward; if it is positive, the graph opens up, if it is negative, the graph opens down. Once we have this, we choose two x-values, one on either side of the vertex, and plug them into the equation to get the y-value that goes with them.

C) Vertex form gives us the vertex, which is the maximum or minimum point.

D) To solve the equation using the quadratic formula, we need the values of a, b and c, which we do not have unless the equation is in standard form.

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