Mathematics
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OpenStudy (anonymous):
What does the graph tell you about the value of k in this function?
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OpenStudy (anonymous):
OpenStudy (solomonzelman):
The "center" here is (-5,2).
(Not a center in this, but a minimum point)
So the k is ?
OpenStudy (anonymous):
equal to zero?
OpenStudy (solomonzelman):
no, what is the minimum point (The point with the smallest y and x value) ?
OpenStudy (anonymous):
-5,2?
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OpenStudy (solomonzelman):
yes, so the k is?
OpenStudy (anonymous):
greater than zero?
OpenStudy (solomonzelman):
(referring to a parabola, where y=a(x-k)+c with center of (k,c) )
OpenStudy (solomonzelman):
(forgot ^23 next to (x-k) sorry.
or, in a parabola, y=a(x+k)^2 +c
center is (-k,c)
OpenStudy (solomonzelman):
look at the minimum point
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OpenStudy (anonymous):
I'm confused
OpenStudy (solomonzelman):
do you see the point of (-5,2) on the graph ?
OpenStudy (anonymous):
Yea
OpenStudy (solomonzelman):
you are missing the dashed part for it to be a parabola|dw:1414606319084:dw|
and the center in this case would be (k,c)
OpenStudy (solomonzelman):
as we know that in
y=a(x+k)^2+c
the center is (k,c)
you can see the center on the graph, and take the k, or the x-coordinate of the center from it.
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OpenStudy (solomonzelman):
(I suck at explaining -:( )
OpenStudy (anonymous):
it's ok lol so k is even/
OpenStudy (solomonzelman):
k=-5
OpenStudy (anonymous):
so less than zero