SOLUTION: find the x-intercepts of the parabola with the vertex (1,-13) and a y-intercept (0,-11)
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Question 982271: find the x-intercepts of the parabola with the vertex (1,-13) and a y-intercept (0,-11)
Answer by solver91311(24713) (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).
\ =\ ax^2\ +\ bx\ +\ c)
So
^2\ +\ b(0)\ +\ c\ =\ -11)
^2\ +\ b(1)\ +\ c\ =\ -13)
^2\ +\ b(2)\ +\ c\ =\ -11)
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
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