SOLUTION: Find the x-intercepts of the parabola with vertex (6,-5) and y-intercept (o,175). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.

Question 231995: Find the x-intercepts of the parabola with vertex (6,-5) and y-intercept (o,175). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the equation is in the form
, then the x component
of the vertex is at
and, plugging the point into general equation,

(2)
---------------------------
The y-intercept is at (0,175), so plugging this into
general equation:

(3)
Now I have 3 equations and 3 unknowns, so it's solvable
From (1),
(1)

Plug this into (2)
(2)
(2)
also, from(3),
(2)

and, since

Now I can write the actual equation

Set to find x-intercepts
Then divide through by

I can see right away that it factors into

and are the solutions
So, the x-intercepts are at (5,0) and (7,0)

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