Is a parabola a function?
Checking if a parabola is a function
The graph of a parabola is a U-shaped curve that opens upward or downward.
It is written in the form are real numbers and it is also the form of a quadratic equation. Any quadratic function's graph is always that of a parabola.
We can also check this with the help of a vertical line test. According to the vertical line test, if a vertical line cuts the graph more than once then for every there is no unique . Therefore, the relation is not a function.
Considering the case of a parabola we see, that the vertical line cuts the graph only once, so the vertical test qualifies and hence, a parabola is a function.
Thus, a parabola is a function.