11th grade Algebra II
posted by Anonymous on .
if the roots of ax^2+bx+c=0 are real, rational, and equal, what is true about the graph of y= ax^2+bx+c?
1.) it intersects the xaxis at two distinct points.
2.) it lies entirely below the xaxis
3.) it lies entirely above the xaxis
4.) it is tangent to the xaxis
i think the answer is choice 1 but i'm not quite sure. can you please help me?

no
for 1.) the roots would have to be real, but different
The graph will intersect at the roots
since the roots are equal, the graph will have two equal intersection points, or in other words, it will just touch the xaxis.
so it must be tangent to the xaxis, thus 4) 
Thank you once again!!! :)