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7 May, 17:54

The graph, of quadratic function f has x-intercepts of (-7,0) and (-4,0).

Which equation could represent function f?

A. f (x) = (x-7) (x-4)

B. f (x) = 2 (x+7) (x-4)

C. f (x) = - 3 (x+7) (x+4)

D. f (x) = - 1/2 (x-7) (x+4)

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  1. 7 May, 21:31
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    C. f (x) = -3 (x+7) (x+4)

    Step-by-step explanation:

    x-intercept means the value of x where the functions touches the x axis.

    The function touches x axis at two places, x=-7 and x=-4 ie. both - 7 and - 4 are the roots of the equation.

    And the terms (x+7) and (x+4) are the factors of the function f (x),

    Only one such case exists where (x+7) and (x+4) are there as factors, ie. Option C.

    Therefore, C.-3 (x+7) (x+4).
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