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Mathematics 14 Online
OpenStudy (anonymous):

solve f(x)=x^2-2x-4...find the vertex, line of symmetry and the min/max of f(x)

OpenStudy (anonymous):

ah vertex! use \[x=-\frac{b}{2a}\]

OpenStudy (anonymous):

in this case \[a=1,b=-2,-\frac{b}{2a}=1\]

OpenStudy (anonymous):

first coordinate of the vertex is 1, second is \[f(1)=1-2-4=-5\] so it is \[(1,-5)\]

OpenStudy (anonymous):

since this is a parabola that opens up, -5 is the minimum (think of the picture)

OpenStudy (anonymous):

ok so that's the equation I use to find the vertex...whew! thanks cause I forgot! lol

OpenStudy (anonymous):

yeah easy. don't let anyone try to tell you you have to 1) complete the square 2) take the derivative 3)locate the midpoint of the zeros

OpenStudy (anonymous):

(i have seen all of the above)

OpenStudy (anonymous):

ah! thanks so much for the tip!

OpenStudy (anonymous):

yw

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