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Mathematics 6 Online
OpenStudy (anonymous):

What does the graph tell you about the value of k in this function?

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?

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

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.

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

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