2007-01-15 10:51:56 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
because of the u shape...if it had 2 y intercepts it would not be a function
2007-01-15 10:55:32 · answer #1 · answered by dla68 4 · 0⤊ 0⤋
A quadratic function is the graph of a parabola. Therefore, it can it looks like a U. so it can intercept the x axis in two places and the y axis in one. The graph can also be an upside down U if the a term is negative.
2007-01-15 18:57:29 · answer #2 · answered by alias89 3 · 0⤊ 0⤋
There can be UP TO two x-intercepts and UP TO one y-intercept since quadratic formula is a graph of a parabola (u-shaped).
One can have two x-intercepts if vertex of the parabola is below y=0, one intercept if vertex is at y=0 and no x-intercepts if vertex is above y=0.
A parabola can have one y-intercept if the vertex of the parabola is near x=0.
See http://www.uncwil.edu/courses/mat111hb/Pandr/quadratic/quadratic.html#sec1 for some examples.
2007-01-15 19:00:21 · answer #3 · answered by teachbio 5 · 0⤊ 0⤋
If this is the case, then what you have is a parabola. Imagine a huge letter U that crosses the Y axis in the middle, and crosses the X axis in two places, one for each leg of the U.
2007-01-15 18:55:29 · answer #4 · answered by inkantra 4 · 0⤊ 0⤋