Question

Find the expression for h (x)

Answer 1

We have this original function given:

`g(x) =-x^2 +5`

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

`h(x)= g(x) -4`

And replacing we got:

`h(x) = -x^2 +5 -4 =-x^2 +1`

Explanation:

We have this original function given:

`g(x) =-x^2 +5`

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

`h(x)= g(x) -4`

And replacing we got:

`h(x) = -x^2 +5 -4 =-x^2 +1`