Question

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

Answer 1

(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)