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The x-intercept/s of the graphs are the value of x at which the y of the equation is equal to zero. Substituting zero to the y of the equation given above,

    0 = x² + 3x - 28

We can determine the values of x from the equation by factoring. The factors of x² + 3x - 28 are,
     (x + 7) and (x - 4)
Substituting these to the given,
    (x + 7)(x - 4) = 0

Determining the values of x,

1st:  x + 7= 0,  x = -7

2nd: x - 4 = 0,   x = +4

The values of the x-intercept therefore lies at (-7,0) and (4,0).

The answer to this item is letter D. 

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