Question

The graph below has the same shape as the graph of G(x) = x?, but it isshifted down five units and to the left four units. Complete its equation. Enterexponents using the caret (1); for example, enter x2 as x^2. Do not include"F(x) =" in your answer

Answer 1

`\begin{gathered} \text{ Original function is} \\ G(x)=x^2 \\ \text{ If we shift it 4 units to the left then it becomes} \\ (x+4)^2 \\ \text{ Then we shift it 5 units down and we add -5} \\ (x+4)^2-5 \\ \text{ Simplify and we get} \\ F(x)=(x+4)^2-5 \\ F(x)=x^2+4x+16-5 \\ F(x)=x^2+4x-9 \\ \text{Therefore, the function is x\textasciicircum{}2 + 4x -9} \end{gathered}`