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If function f has zeros at -3 and 4, which graph could represent function f? A. the graph of a quadratic function y = (1/4)(x+3)(x-4) B. the graph of a quadratic function y = -(1/4)(x-3)(x+4) C. the graph of a quadratic function y = -(x+3)(x+4) D. the graph of a quadratic function y = (x-3)(x-4)

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Answer:

 A. the graph of a quadratic function y = (1/4)(x+3)(x-4)

Step-by-step explanation:

(1/4)(x+3)(x-4) = 0

x+3 = 0    or  x-4 = 0

x = -3  or   x = 4

For the others:

B.  -(1/4)(x-3)(x+4) = 0

x-3 = 0    or  x+4 = 0

x = 3  or   x = -4

C.  -(x+3)(x+4) = 0

x+3 = 0    or  x+4 = 0

x = -3  or   x = -4

D.  (x-3)(x-4) = 0

x-3 = 0    or  x-4 = 0

x = 3  or   x = 4

Answer:

A. the graph of a quadratic function y = (1/4)(x+3)(x-4)

Step-by-step explanation:

(1/4)(x+3)(x-4) = 0

x+3 = 0    or  x-4 = 0

x = -3  or   x = 4

For the others:

B.  -(1/4)(x-3)(x+4) = 0

x-3 = 0    or  x+4 = 0

x = 3  or   x = -4

C.  -(x+3)(x+4) = 0

x+3 = 0    or  x+4 = 0

Step-by-step explanation:

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