Question

Here is the graph of the function y = f(x).

Graph the function
`y=(1)/(3) f(x-4)-2`

Answer 1

• See attached graph

----------------------------

The graph of f(x) shows the vertex at (3, 2)

Its equation is

• f(x) = (x - 3)² + 2

The function g(x) = 1/3f(x - 4) - 2 is

• g(x) = 1/3[(x - 3 - 4)² + 2] - 2 =
• 1/3[(x - 7)² + 2] - 2 =
• 1/3(x - 7)² + 2/3 - 2 =
• 1/3(x - 7)² - 4/3