Identify the axis of symmetry for the graph of f(x) = -(x - 4)2 - 6.
x=?
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OpenStudy (anonymous):
x = 4 ?
OpenStudy (anonymous):
x = -7
OpenStudy (anonymous):
how'd you guys get those answers?
OpenStudy (anonymous):
i may be wrong just rearranged to find x see what others get though
OpenStudy (y2o2):
You get the answer by finding the vertex of the function
Vx = -b/2a
so by expanding the bracket you get f(x) = -x^2+8 x-22
so Vx = -8 / -2 = 4
so equation of axis of symmetry is x = 4
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OpenStudy (anonymous):
the axis of symmetry is the vertex
The equation above is in vertex form
y = a(x - h) + k
where h is the x value of the vertex and k is the y value of the vertex
h is always opposite of the sign while k isnt
so since your equation is f(x) = -(x - 4)^2 - 6 your vertex is (4,-6). The axis of symmetry is your x value so x = 4
OpenStudy (anonymous):
thanks <33
OpenStudy (anonymous):
anytime <33
OpenStudy (anonymous):
<333
OpenStudy (anonymous):
<3333
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