Question

All you need is in the photo please answer fast please helpppppp

Answer 1

Vertex form of a quadratic function is represented by:

`\begin{gathered} y=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the v}ertex \end{gathered}`

Then by the graph, the vertex of g(x) would be represented by:

`\begin{gathered} Vertex\text{ is in coordinates (5, 0)} \\ g(x)=(x-5)^2 \end{gathered}`

For h(x):

`\begin{gathered} \text{Vertex is in coordinates (-5, 0)} \\ h(x)=(x+5)^2 \end{gathered}`

For m(x):

`\begin{gathered} \text{Vertex is in coordinates (0, 5)} \\ m(x)=x^2+5 \\ \end{gathered}`

For n(x):

`\begin{gathered} \text{Vertex is in coordinates (0, -5)} \\ n(x)=x^2-5 \end{gathered}`