What are the x-intercepts of the function 2 (x+3) ^2?

The x intercept is where the line crosses the x axis or when y=0 so in functions exg

f (x) = 3x+4

f (x) = y so

if f (x) = 2 (x+3) ^2

find x intercept, set f (x) to zero

0=2 (x+3) ^2

so if you have xy=0 then x and/or y=0 so

0 = (2) (x+3) ^2

0 = (2) (x+3) (x+3)

2≠0 so

0 = (x+3) (x+3)

0=x+3

subtract 3

-3=x

the x intercept is - 3 or (-3,0)