Question

Without solving completely or graphing, determine how many x-intercepts there are and whether the vertex lies above, below, or on the x-axis.

Answer 1

\[2x ^{2}+5x+4=0\]

Answer 2

Just find the discriminant

Answer 3

What do you get?

Answer 4

Okay, but how do I know where the vertex lies?

Answer 5

well if D=0 vertex lies on x axis

Answer 6

D<O vertex lies above x axis

Answer 7

D>0 below x axis

Answer 8

There are no real solutions, since it's a negative, so then it would be above the x-axis?

Answer 9

yes

Answer 10

Okay! Thank you. :D

Answer 11

yw :)