Question

Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10).

Answer 1

Answer:

Option D:  is the function

Explanation: Let the general form of quadratic equation be  The function passes through the intercepts  and  and also passes though the point  Substituting the points ,  and  in the equation , we get,   -----------(1)  ----------(2)     -----------(3) Subtracting (1) and (2), we get,   -----------(4) Subtracting (2) and (3), we get,   ------------(5) Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get, Thus, the value of a is  Substituting  in equation (4), we get, Thus, the value of b is  Now, substituting the value of a and b in equation (1), we have, Thus, the value of c is  Now, substituting the value of a,b and c in the general formula , we get, Taking out the common term as -2 we get, Factoring , we get, Thus, the function is  

Answer 2

The option will be D .