Question

How many x intercepts does the graph of y=2x^2+4x-2have

Answer 1

2

Explanation:

x intercepts are at y=0

therefore

0= 2x^2+4x-2

Simplify by 2

0=x^2+2x-1

the determinant

D= 2^2 - 4 (1)(-2) = 4 + 8 = 12 > 0

therefore the graph has two intercepts