The given quadratic function is,
[tex]f(x)=5(x+2)^2+4[/tex]
Let us plot the graph of the function
a) From the graph above, we can see that the graph opens up.
b) The vertex of the graph is,
[tex](-2,4)[/tex]
c) The domain of the function is
[tex]\mleft(-\infty\: ,\: \infty\: \mright)[/tex]
d) The range of the function is
[tex]\lbrack4,\: \infty\: )[/tex]
e) The graph of the function is
