The graph shows the solution to a system of equations. What is that solution?
2 answers:
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The equation of a parabola is given. y=
Here the value of 'a' = 18 and it is positive, it means the parabola opens up.
For vertical parabola the focus point is (h , k+p)
Where (h,k) is the vertex and p = (p is the distance between vertex and focus)
First we find vertex (h,k)
h =
a = 18 and b = 4
So h= =
=
Plug in -1/9 for x and find out k
k =
=
=
So vertex is (,
)
P = , we know a= 18
So p = =
Focus is ( h, k +p)
h = k =
and p =
k + P = +
Take common denominator 72
k + p = +
=
=
Focus point is ( ,
)
The domain is the x-values used by the graph, so you want to see how your graph lines up with respect to the x-axis.
This graph starts out with an x-value of 2 (although it doesn't really use 2, since it's an open circle) and then continues to the right forever.
The domain is x > –2.
