Question

Question #fd733

Answer 1

To do a vertical shift by `1/2`, you are shifting the parent function `f(x)=x^2` vertically upwards by `1/2` units. This is accomplished by adding `1/2` to the end of the function:

`x^2 + 1/2`

Then, in order to reflect this along the `x` axis you must negate the outside part of the parent function. This gives the final rule:

`g(x) = -x^2 + 1/2`

The graph looks like this:

graph{-x^2+1/2[-2,2,-2,1]}