Question 1206304
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The quadratic term in all 4 answer choices is x^2, which means the equation in standard form has a=1.  Because of that, the given information that the graph passes through (2,-8) is not needed.<br>
Solution method 1...<br>
If the roots are 3 and -6, then the linear factors are (x-3) and (x-(-6))=(x+6).  The equation is then y = (x-3)(x+6) = x^2+3x-18.<br>
ANSWER: C<br>
Solution method 2...<br>
With a=1 in the standard form, Vieta's Theorem says the sum of the roots is -b and the product of the roots is c.<br>
The sum of the roots is 3+(-6) = -3, so b is 3; the product of the roots is 3(-6) = -18, so c is -18:  y = x^2+3x-18.<br>
ANSWER: C<br>