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)

Question

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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)

Mathematics

1 answer:

34kurt · Answer 1 · 2022-01-18T09:22:24+03:00

Answer:

<h3> A. the graph of a quadratic function y = (1/4)(x+3)(x-4)</h3>

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