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) 
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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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