SOLUTION: find the x-intercepts of the parabola with the vertex (1,-13) and a y-intercept (0,-11)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the x-intercepts of the parabola with the vertex (1,-13) and a y-intercept (0,-11)      Log On


   

Question 982271: find the x-intercepts of the parabola with the vertex (1,-13) and a y-intercept (0,-11)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


With the vertex at (1,-13) and another point at (0,-11), by symmetry a third point must be at (2,-11).



So







So







Solve the 3X3 system of equations to get the coefficients a, b, and c.

Substitute the coefficients in



and solve the quadratic for the two zeros to get the -coordinates of the -intercepts.

John

My calculator said it, I believe it, that settles it