What is the vertex for the graph of y = 2x2 + 12x + 10?
(−3, −8)
(−3, −44)
(3, 64)
(3, 58)
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OpenStudy (dumbcow):
do you want the short answer or long answer :)
OpenStudy (anonymous):
Short would be good for now please!:)
OpenStudy (anonymous):
(-3,-8)
OpenStudy (dumbcow):
ok formula for "x" component of vertex is:
x = -b/2a (where a,b,c are coefficients of equation)
x = -12/4 = -3
plug in x =-3 to get "y" component
OpenStudy (anonymous):
just differentiate the above eq.. at the point of vertex the slope is 0 for a quadratic function equate ur answer to 0 to get x component and substitute it in ur function to get the y component
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OpenStudy (dumbcow):
haha i dont think calculus has been learned yet
OpenStudy (anonymous):
the formula u gave is itself derived from calculus
OpenStudy (dumbcow):
i know that but students learn formula first then how its derived later....thats how it always works
OpenStudy (aravindg):
he formula can also be got by completing the square
OpenStudy (anonymous):
ok
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OpenStudy (dumbcow):
finding vertex of parabola is an algebra or pre-calc course