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

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) (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

RELATED QUESTIONS
Find a function whose graph is a parabola with vertex (4,-6) and that passes through the (answered by ikleyn)

Hello! Find a function whose graph is a parabola with vertex (5, -7) and that passes... (answered by RAY100)

Can you please help me with this problem: Find a function whose graph is a parabola with... (answered by ikleyn)

Hi, can I have some help finding a function whose graph is a parabola with vertex (6, -4) (answered by solver91311)

Find a function (f) whose graph is a parabola with given vertex and that passes through... (answered by josgarithmetic)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by Fombitz)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by MathLover1)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by FrankM)

Find the quadratic function f whose points on a graph are the vertex, which is (5,-4) and (answered by stanbon)

SOLUTION: Find a function whose graph is a parabola with vertex (4, 3) and that passes through the point (&#8722;3, 1).

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