Determine the equation of a quadratic function with:

7- zeros -2and 6that passes through(1,4)

8- zeros-1 and -7with y-intercept(-9) .

9- zeros3+7 and3 - 7 through points (2,-18).

Determine the number of intersections of each of the following linear-quadratic systems.

10- f(x) = x^2 -2x+1 andg(x)= x- 2

11- F(x)= 2x^2 -3x + 4 and g(x)= 3x+4

12- F(x)= x^2 -6x -7 and g(x)= -16

Determine the value ofk inF(x)= kx^2+ 4x -3 that will intersect the lineG(x)= 2x-7at:

13- one point

14- two points

15- No points