Examining Parabolas

[aknaus]

Question: Find the equation of a parabola which has a vertex at (2,-3) and passes through the point (5,7).

Im completely lost on finding the slope after i find the vertex. So far i got : y = a(x-2)^2 -3
where "a" = slope, how do i figure that out?

 

[stapel]

Question: Find the equation of a parabola which has a vertex at (2,-3) and passes through the point (5,7).

Im completely lost on finding the slope after i find the vertex. So far i got : y = a(x-2)^2 -3
where "a" = slope, how do i figure that out?

Whoever told you that parabolas are straight lines or that an equation with a squared variable is linear was very much mistaken! (It's too bad you don't have a book, which would have explained otherwise, and that you missed so much of the class that you never heard otherwise. Ouch!)

To learn about parabolas and finding their equations from points and such, please try here. Once you have studied at least two lessons from the link, please attempt the exercise. If you get stuck, you can then reply with a clear listing of your efforts after you'd plugged (h, k) = (2, -3) and (x, y) = (5, 7) into the equation y = a(x - h)^2 + k and tried solving for "a".

Thank you!

 

[aknaus]

Whoever told you that parabolas are straight lines or that an equation with a squared variable is linear was very much mistaken! (It's too bad you don't have a book, which would have explained otherwise, and that you missed so much of the class that you never heard otherwise. Ouch!)

To learn about parabolas and finding their equations from points and such, please try here. Once you have studied at least two lessons from the link, please attempt the exercise. If you get stuck, you can then reply with a clear listing of your efforts after you'd plugged (h, k) = (2, -3) and (x, y) = (5, 7) into the equation y = a(x - h)^2 + k and tried solving for "a".

Thank you!

After reading your comment i figured out what to do, i feel so stupid it was such a simple answer