Question

how do i find the features of a parabola? im only confused about the axis of symmetry, vertex, and the increasing/decreasing

Answer 1

Yeah, it's a tough one for sure.

Answer 2

@polywog
What would you guess the answer to be?

Answer 3

\[y=a(x-h)^2+k\]
if a>0
it is an upward parabola with vertex (h,k) and axis of symmetry is x-h=0 or x=h
if a<0
it is a downward parabola with vertex (h,k) and axis of symmetry is x-h=0 or x=h
\[x=a(y-k)^2+h\]
if a>0
it is a right open parabola with vertex (h,k) and axis of symmetry is y-k=0 or y=k
if a<0

it is a left open parabola with vertex (h,k) and axis of symmetry is y-k=0 or y=k