Hi all -nice to meet you!

My grandson has this question (I must tell that my math was very poor 50 years ago)

2 functions:

y=-a^2+2ay=5ax

Hope it make sense - as I know you mathematitions I am sure it make sense.

- for which values of
athere is only one "cut point" for the functions graphs ( ....I am trying to translate it maybe it is not the exact term!)- for which
athe functions have infinite cutpoints?- for which
avalues -there are no cutpoints between function graphs?

I will be grateful if you may also explain the logic of solving such problems!

Many thank's in advance.

Elie