Respuesta :

Answer:

We need the following translation: [tex]h(x) = g(x) +4[/tex]

Step-by-step explanation:

To transform [tex]g(x)[/tex] into [tex]h(x)[/tex], we need must apply the following translation:

[tex]h(x) = g(x) +4[/tex] (1)

If we know that [tex]g(x) = x^{2} -5[/tex], then the expression of [tex]h(x)[/tex] is:

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

[tex]h(x) = x^{2}-1[/tex] (2)

Which demonstrates the affirmation.