Respuesta :

Answer:

We have this original function given:

[tex] g(x) =-x^2 +5[/tex]

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:

[tex] h(x)= g(x) -4[/tex]

And replacing we got:

[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]

Step-by-step explanation:

We have this original function given:

[tex] g(x) =-x^2 +5[/tex]

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:

[tex] h(x)= g(x) -4[/tex]

And replacing we got:

[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]