Question

The graph of f and g are given. Find the formula for the function g

Answer 1

From the graph, we observe that

The given curve is,

`f(x)=x^2`

We need to write the formula for the function g:

The graph of g(x) is shifted 2 units right and 4 units down the original graph.

Hence, the formula g(x) is,

`\begin{gathered} g(x)=f(x-2)-4 \\ g(x)=(x-2)^2-4 \end{gathered}`

Hence, the answer is,

`g(x)=(x-2)^2-4`