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The zeros of a function are at x = -5 and x=9. Which of the following is an equivalent expression that will reveal the vertex?
f(x) = x2 + 41 – 45
f(x) = x2 - 4x – 45
f(t) = (2 – 2)2 – 49
f(3) = (x+2)2 - 49

Sagot :

Answer:

f(x) =  x² + 4x - 45.  That is the 2nd answer given.

Step-by-step explanation:

If the zeros of a function are    x = -5   and    x = 9,    that means

f(x) = 0 when x = -5 or when x = 9

So we can try factoring    f(x) as     f(x) = {x - (-5)} * (x - 9)

                                                         f(x) =  (x + 5)(x-9)

                                                          f(x) =  x² + 4x - 45

                                                                  That is the 2nd answer given.

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