Posted by Melinda on Sunday, December 11, 2011 at 11:29am.
Whats the value of a? ==
For the graph, determine the equation of the function in the form y=a(xh)^2+k.
Then describe the transformations that were applied to y=x^2 to obtain the graph.
Here is the graph: imgur dot com/A7e5M
The only thing I know is that:
1. Reflected in xaxis
2. vertical shift UP 2
Whats the vertical compression/stretch? halps~

Precalculus  Reiny, Sunday, December 11, 2011 at 1:12pm
This time I was able to see your graph,
the new vertex is (0,2) and another point on it is (1,1)
so if the parent equation is y = x^2
the new equation is
y = a(x0)^2 + 2
y = ax^2 + 2
but the point (1,1) lies on it
1 = a(1)^2 + 2
1 = a + 2
a = 1
new equation: y = x^2 + 2
Notice that because of the position of the new point (1,1) the value of a turned out be negative, which we expected, since it opens downwards 
Precalculus  Melinda, Sunday, December 11, 2011 at 2:02pm
Thank you Reiny!!!!!!!