Question

What is the best way to explain the range of a parabola ?

Answer 1

I know that it is all the possible y values . Wouldn't the range either be the minimum or maximum value? This is regarding quadratic equations in Algebra-1

Answer 2

the range is the set of all possible outcomes of a function....ie the set of all possible y values (of the points on the graph)

Answer 3

if you have a parabola that opens upwards, then the range will be \(\large y \ge k\) where k is the y coordinate of the vertex (ie the lowest point on the graph)


if you have a parabola that opens downwards, then the range will be \(\large y \le k\) where k is the y coordinate of the vertex (ie the highest point on the graph)

Answer 4

Thank you Jim , I was also a bit confused about the greater or equal to part and you clarified it . ;)

Answer 5

you're welcome