A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
The outlier in this set of data is 83.
The outlier in a data set is any number that is <em>much </em>higher or lower than the average of the set.
83 is nowhere near the average of 23 in this set, and so it is the sole outlier.
Hope this helps!
There is no relation between the size of a lake and the number of fish in the lake.
