SOLUTION: Which of the following statements is FALSE? It is possible that for a parabola and a line to intersect exactly once. The y-intercept of the quadratic function is always

Algebra ->  Sequences-and-series -> SOLUTION: Which of the following statements is FALSE? It is possible that for a parabola and a line to intersect exactly once. The y-intercept of the quadratic function is always      Log On


   



Question 1182208: Which of the following statements is FALSE?

It is possible that for a parabola and a line to intersect exactly once.

The y-intercept of the quadratic function is always higher than the y-coordinate of the vertex.

If a quadratic function has no x-intercept, then its discriminant must be less than 0.

Assuming a parabola has 2 x-intercepts, then the vertex would be exactly halfway between them.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Parabola can be tangent to a line, so that works
if the discriminant <0, then no roots, and if no roots, the discriminant is < 0
the vertex is half way between the two intercepts.
what is false is the second: the y-intercept may be greater or less than the y-coordinate of the vertex.
y=-(x-1)^2-7
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-%28x-1%29%5E2%2B4%29