Question

Help with SAT math lvl 2 problem

Answer 1

if \[y = 3x^{2} - 2x +k\] is positive for all x, then what is the smallest integral value of k?

Answer 2

Which is..?

Answer 3

What is an integral value?

Answer 4

you need to have discriminant < 0

Answer 5

But why @Coolsector

Answer 6

if it is positive, that means the vertex likes above the \(x\) axis
first coordinate of the vertex is given by \(-\frac{b}{2a}\) second by what you get when you replace \(x\) by \(-\frac{b}{2a}\)
make sure that is positive

Answer 7

now since ax^2 + bx + c if a >0 then the upper case is the correct one ( U shape )

Answer 8

i guess you can do it @Coolsector method as well
pretty sure they will be equivalent

Answer 9

probably actually easier.

Answer 10

I'm still not really getting this