Question

What transformation takes the graph of g(x) = x2 – 5 to the graph of
h (x) = x² – 1

Answer 1

We need the following translation:
`h(x) = g(x) +4`

Explanation:

To transform
`g(x)` into
`h(x)`, we need must apply the following translation:

`h(x) = g(x) +4` (1)

If we know that
`g(x) = x^(2) -5`, then the expression of
`h(x)` is:

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

`h(x) = x^(2)-1` (2)

Which demonstrates the affirmation.