True or False: The vertex of the graph y=ax^2 will be at the origin.

If b^2 - 4ac = 0, then b^2 = 4ac. Therefore, ac = 4 and b = + or - 2.

That means that if b can be multiple things, then there a two y = equations.

y=ax^2+2x+c

y=ax^2-2x+c

so to find the intercept equations:

0=ax^2+2x+c; 0 = x (ax+2) + c; x (ax+2) = - c

0=ax^2-2x+c; 0 = x (ax - 2) + c; x (ax-2) = - c

That means x has a positive and a negative value, so there is more than 1 intercept.

False.