What does an even monomial function look like as a graph

It would be symmetric about the y-axis

Step-by-step explanation:

Even functions are always symmetric about the y-axis. A function is even if f(-x)= f(x)

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