Question

Replace x 1 and x 2 in the formula f ( x ) = c ⋅ ( x − x 1 ) ( x − x 2 ) with the values you found above. use the fact that f ( 0 ) = 17 to determine the value of c .

Answer 1

To determine the value of c in the quadratic function, one would normally substitute the provided x-intercepts and the value of the function when x=0, then solve for c. However, the necessary x-intercepts are not provided in the question.

Step-by-step explanation:

To find the value of the constant c in the quadratic function f(x) = c · (x - x1) (x - x2), it is given that two roots or x-intercepts are x1 and x2, and when x=0, f(0) = 17. By substituting 0 for x in the function, we have f(0) = c · (0 - x1) (0 - x2) = 17. To solve for c, we simply divide 17 by the product of (-x1) and (-x2).

The roots x1 and x2 are generally found by solving a quadratic equation of the form ax² + bx + c = 0 using methods like factoring, completing the square, or the quadratic formula. If the values of x1 and x2 were provided in the preceding information, we could plug those values into the equation to find c. Unfortunately, the provided excerpts do not contain clear values for x1 and x2, which are necessary to calculate c.