The graph of f(x) = 2x ^ 2 is given below. Write the equation of a function g(x) which would shift the graph of f(x) right 1 unit.

Answer 1

To shift the graph of the function $f(x)=2x^2$ to the right by 1 unit, you can use the transformation rule for horizontal shifts. Shifting a function to the right by $h$ units involves replacing $x$ with $(x-h)$.

In this case, since you want to shift right by 1 unit, you will replace $x$ with $(x-1)$. Thus, the new function $g(x)$ will be:

$$g(x)=f(x-1)=2(x-1{)}^2$$

So the equation of the function $g(x)$ that represents the graph of $f(x)=2x^2$ shifted right by 1 unit is:

$$g(x)=2(x-1{)}^2$$