Question

The function f is given in three equivalent forms. Which form most quickly reveals the zeros (or 'roots") of the function?

Write one of the zeros.
x= ___​​

Answer 1

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Answer:

A, 2

Explanation:

In the factored form, the zeros are the values of x that make a factor zero. That is, one of the zeros is ...

x -2 = 0 ⇒ x = 2

__

To find the zeros from the other forms, more work must be done. In the standard form, one of the usual solution methods must be used, possibly including putting the equation into factored form, completing the square, or using the quadratic formula. In vertex form, a root must be taken, then those values adjusted by translation to the axis of symmetry.