SOLUTION: Find a function whose graph is a parabola with vertex (4, 3) and that passes through the point (−3, 1).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find a function whose graph is a parabola with vertex (4, 3) and that passes through the point (−3, 1).      Log On


   

Question 841742: Find a function whose graph is a parabola with vertex
(4, 3)
and that passes through the point
(−3, 1).
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find a function whose graph is a parabola with vertex
(4, 3)and that passes through the point(−3, 1).
***
Given data shows parabola opens left.
Its basic equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of vertex
(y-3)^2=4p(x-4)
(1-3)^2=4p(-3-4)
4=4p(-7)
4p=-4/7
equation:
(y-3)^2=-(4/7)(x-4)
see graph below:
y=((-4/7)(x-4))^.5+3