Find the vertex of the graph of the function.
f(x) = (x - 5)2 + 10
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OpenStudy (anonymous):
\[f(x)=(x-5)^{2}+10\]
OpenStudy (madhu.mukherjee.946):
f(x) = a(x-h)^2 + k --->vertex = (h,k) so vertex is (5,10)
OpenStudy (anonymous):
(5,10)
OpenStudy (anonymous):
thank youuuuu
OpenStudy (anonymous):
what about this one? its a little different
Find the vertex of the graph of the function.
\[f(x) = 3x ^{2} - 18x + 24\]
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OpenStudy (anonymous):
@madhu.mukherjee.946
OpenStudy (madhu.mukherjee.946):
f(x)=3x^2-18x+24
completing the square
f(x)=3(x^2-6x+9)+24-27
f(x)=3(x-3)^2-3
OpenStudy (madhu.mukherjee.946):
This is a parabola of the standard form: A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. Positive leading coefficient means parabola open upwards, has a minimum.
For given parabola:
vertex: (3,-3)
OpenStudy (anonymous):
do u need help still?
OpenStudy (anonymous):
thank you so much!! @madhu.mukherjee.946
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OpenStudy (madhu.mukherjee.946):
your welcome darling:))
OpenStudy (anonymous):
no i think i got it but thank you @Skielerlucas04 ill tell you if i dont get something else