Question

The function m is given in three equivalent forms.

Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
B
m(x) = -2x² +24x54
-
m(x) = -2(x - 6)² + 18
m(x) = -2(x - 3)(x-9)
Write one of the zeros.

Answer 1

m(x) = -2(x - 3)(x - 9)

One of the zeros of the function is x = 3

Explanation:

The form that most quickly reveals the zeros (or "roots") of the function is:

m(x) = -2(x - 3)(x - 9)

To find the zeros of the function, we set m(x) equal to zero:

-2(x - 3)(x - 9) = 0

From this equation, we can see that the zeros (roots) of the function occur when either (x - 3) equals zero or (x - 9) equals zero. Solving these equations gives us the zeros:

x - 3 = 0

x = 3

x - 9 = 0

x = 9

Therefore, one of the zeros of the function is x = 3.

Hope this helps!