Question

I chose C Medal

Answer 1

One sec

Answer 2

I'm in 6th grade I got confused looking at the first option

Answer 3

@Michele_Laino

Answer 4

@dan815

Answer 5

the graph is cut off

Answer 6

oh nvm, i figured it out

Answer 7

no its not @jim_thompson5910

Answer 8

have a look at this page

http://www.mathwords.com/f/focus_parabola.htm

what is the first formula given on there

Answer 9

4p(y-k)=(x-h)^2 @jim_thompson5910

Answer 10

that's the formula we will use

Answer 11

what is the vertex of your given graph

Answer 12

v=1,-4 @jim_thompson5910

Answer 13

so (h,k) = (1,-4)

Answer 14

how far is the vertex from the focus?

Answer 15

B @Michele_Laino ??

Answer 16

I think that @jim_thompson5910 is right, since we have to perform this traslation:
\[\left\{ \begin{gathered}
x = X + 1 \hfill \\
y = Y - 4 \hfill \\
\end{gathered} \right.\]
where X, and Y are the new coordinates

Answer 17

ok when i sub them in what i do next @Michele_Laino

Answer 18

using that new coordinates, the equation of our parabola is:
Y=k*X^2
now we have to determine what is k

Answer 19

if I rewrite that equation, using the old coordinates, I have:
\[\Large y + 4 = k{\left( {x - 1} \right)^2}\]

Answer 20

so what is the right option?

Answer 21

from the data of your graph, we have that the equation of the directrix is:
y=-6
furthermore, the equation of the directrix of our parabola:
Y=kX^2,
is Y=-1/k=-2, so K=1/2
since if we substitute y=-6, into my trasformation above, I get:
-6=Y-4,
namely Y=-2
so the right option is the first option.
@Saylilbaby