Question

Equation for lower half of parabola.

Answer 1

Find an eq for the lower half of the parabola, without restriction.
(y-5)^2 = 4x-2

Answer 2

it says for the lower half

Answer 3

It's a parabola opening to the RIGHT, ya?
So if you drew it, you would see that it `fails the vertical line test`.

We want to show that either branch of the parabola IS a function.
So we'll end up with y=(plus/minus) squareroot(x stuff)

and to get the LOWER Half of the parabola, we want the negative of that root.

Answer 4

Do you understand how to get it into the form y=stuff
from what they've given you? :)

Answer 5

em i'm trying but i'm getting it wrong.

Answer 6

You ...
you and your ways miriam -_-

ok let's see where we're going wrong,\[\Large\rm (y-5)^2 = 4x-2\]

Answer 7

square root as first step, ya?

Answer 8

\[\Large\rm y-5=\pm\sqrt{4x-2}\]Add some 5 business in there,\[\Large\rm y=\pm\sqrt{4x-2}+5\]

Answer 9

We want the lower branch, ya?
So we only want the negative root,\[\Large\rm y=-\sqrt{4x-2}+5\]

Answer 10

I was simplifying first and that was making it come out wrong