SOLUTION: Hi, can I have some help finding a function whose graph is a parabola with vertex (6, -4) and that passes through the point (1, 8)? Thanks

Question 127806: Hi, can I have some help finding a function whose graph is a parabola with vertex (6, -4) and that passes through the point (1, 8)?
Thanks
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The equation of a parabola with vertex at (h,k), and directrix at is .

The vertex is given, so we can write:

Now we have to calculate p given that the parabola passes through (1,8).

Now we have:

So:

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

Find a function whose graph is a parabola with vertex (4, 3) and that passes through... (answered by lwsshak3)

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

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

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

I need help to write an equation of a quadratic function whose graph is a parabola that... (answered by funmath,Edwin McCravy)

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

Find the rule of a quadratic function whose graph has the given vertex and passes through (answered by rothauserc,josmiceli)

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