SOLUTION: I'm so lost with this. Please help!!! find the vertex. f(x)= 5(x+ 1/4)^2+19

Question 312004: I'm so lost with this. Please help!!!
find the vertex. f(x)= 5(x+ 1/4)^2+19

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

You must memorize the standard equation of a parabola, which is:

learn how to compare your equation with that:

And see that , ,
You must also learn that the vertex is the point (h,k), which is

and that since , which equals is a positive number,
the graph opens upward.
To check:
means the same as , so find
some points for:

substitute x=-4, get y=89.3
substitute x=-3, get y=56.3
substitute x=-2, get y=34.3
substitute x=-1, get y=21.8
substitute x=0, get y=19.3
substitute x=1, get y=28.8
substitute x=2, get y=44.3
substitute x=3, get y=71.8

And it looks like the graph of its vertex (turning point) is:
is

Edwin
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