The graph of f(x)= x^2 has been translated 4 units down.
Identify the new equation and the following attributes:

the vertex, the zeros, the y-intercept, and explain if it has a minimum or a maximum.

the new equation is f(x)=x^2-4  

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3