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Mathematics 13 Online
OpenStudy (chaotic_butterflies):

Which graph best resembles the graph of x = a(y - k)^2 if a>0 h<0 k>0 ? (drawing below)

OpenStudy (paxpolaris):

\[\Large x=a \left( y-k \right)^2+h\] you forgot to write h

OpenStudy (paxpolaris):

Can you eliminate at least on of the options? @chaotic_butterflies

OpenStudy (chaotic_butterflies):

I'm back, apologies, and there is an h acutally

OpenStudy (chaotic_butterflies):

I think I can eliminate D

OpenStudy (paxpolaris):

yes ...y is being squared and not x

OpenStudy (paxpolaris):

if the formula was \[y=a(x-h)^2+k\] the graph would open up or down|dw:1463966008094:dw|

OpenStudy (chaotic_butterflies):

But since it's x, it's going to lay down right or left

OpenStudy (paxpolaris):

\[\Large x=a \left( y-k \right)^2+h\] correct

OpenStudy (paxpolaris):

the coordinates of the vertex are (h,k)

OpenStudy (paxpolaris):

h is negative and k is positive ... so we can rule out one more option

OpenStudy (chaotic_butterflies):

I don't know how that correlates with left and right

OpenStudy (paxpolaris):

h is the x - coordinate which is negative k is the y - coordinate which is positive Which Quadrant must the vertex (h,k) be in?

OpenStudy (chaotic_butterflies):

The upper left quadrant

OpenStudy (chaotic_butterflies):

So it's a or b

OpenStudy (paxpolaris):

right

OpenStudy (paxpolaris):

now, if a is positive, the graph opens to the right (or up) if a is negative, it opens to the left (or down)

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