Answer:
The function of the quadratic equation in vertex form is given below as
[tex]f(x)=7(x_{}+1)^2-9[/tex]
From the graph of the function above, we can see that the leading coefficient is greater than zero ,
Hence,
The graph opens up
Part B:
To figure out the vertex of the graph, we will use the general form of a quadratic function given below as
[tex]f(x)=a(x-h)^2+k[/tex]
By comparing coefficients, we will have
[tex]\begin{gathered} f(x)=a(x-h)^2+k \\ f(x)=7(x+1)^2-9 \\ a=7,h=-1,k=-9 \end{gathered}[/tex]
The coordinates of the vertex is represented below as
[tex](h,k)\Rightarrow(-1,-9)[/tex]
Hence,
The vertex of the graph in ordered pair is = ( -1. -9)
