Question

5. Let the graph of g be a translation 2 units up and 2 units right, followed by a reflection in the x-axis of the graph off(x) = -(x+3)^2 - 2. Write a rule for g.

Answer 1

`g(x)=-f(x-2)+2`

Step-by-step explanation:

Given the function f(x)

A translation of 2 units up = f(x)+2

Next, a translation of 2 units right = f(x-2)+2

When we reflect the result above in the x-axis, we have:

`g(x)=-f(x-2)+2`

A rule for g is therefore:

`g(x)=-f(x-2)+2`