Answer :
ANSWER
See attachment.
EXPLANATION
The given function is
[tex]y = 2 {(x - 2)}^{2} + 5[/tex]
This equation is of the form:
[tex]y = a {(x - h)}^{2} + k[/tex]
where (h,k) is the vertex of the parabola and
[tex]x = h[/tex]
is the equation of axis of symmetry.
By comparing, h=2 and k=5, a=2
Hence the vertex is at (2,5).
and the equation of axis of symmetry is
[tex]x = 2[/tex]
Since the value of 'a' is positive, the graph is a minimum graph.
With these information we can sketch the graph easily.
See attachment.
