Y=2x^2 +8x +2 from range -2,-1,...+2 determine point of inflexion?

1 Answer
Sizadel
Mar 27, 2018

(4, 66)

Explanation:

Point of inflection is where the direction of the curve changes.
Point of inflection is where the second derivative equals 0.
Find the second derivative of f(x),
#dy/dx=4x+8#
#(d^2y)/dx^2=4#

Substitute #x=4# to the original equation to find the y coordinate.
#2(4)^2+8(4)+2=66#
The point of inflection is (4, 66)

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