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)

a - base

b - exponent

so,

the base is 8the exponent is 3the exponent tells you to multiply 8 together three timesthe expanded form is 8*8*8