When graphing an equation, are all equations to the nth power that are even parabola's?
So, would #f(x)=4-x^4# be a parabola?
So, would
1 Answer
No
Explanation:
No. A parabola is a special kind of graph with the property that for some line (the directrix) and a point not on that line (the focus), every point on the graph is equidistant from the directrix and the focus.
Any parabola can be written in the form
where
Notice that this means any polynomial function with degree
The blue graph is the parabola
The red graph is
The green graph is