Write a polynomial function in standard form with the given zeros 1, -1, -4

since its the zeros it should be x -/+ something

(x-1)(x+1)(x+4)

multiply for standard form

((x^2)-1)(x+4)

x^3-x

+    x^2 -4

x^2 + x^2 -x -4

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1