Question

The graphs below have the same shape. What is the equation of the red graph?G(x)= 4 - x^2F(X) = ?

Answer 1

Given: A graph of the function F(x) and G(x) and

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

Required: To find the equation of the function F(x).

Explanation: The graph of F(x) is translated 4 units down. To shift a function down we subtract from the function. The given function is shifted 4 units down. Hence the function F(x) is-

`F(x)=G(x)-4`

Hence the function is

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

Final Answer: Option B is correct.