Homework Help: 11th grade Algebra II

Posted by Anonymous on Tuesday, March 31, 2009 at 10:26pm.

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 x-axis at two distinct points.
2.) it lies entirely below the x-axis
3.) it lies entirely above the x-axis
4.) it is tangent to the x-axis

i think the answer is choice 1 but i'm not quite sure. can you please help me?

11th grade Algebra II - Reiny, Tuesday, March 31, 2009 at 10:31pm
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 x-axis.
so it must be tangent to the x-axis, thus 4)
11th grade Algebra II - Anonymous, Tuesday, March 31, 2009 at 10:34pm
Thank you once again!!! :)
11th grade Algebra II - Anonymous, Wednesday, June 23, 2010 at 11:23pm
1

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