Will give brainliest for each curve find the values of (x) for which the curve is increasing i. y=x^2 -4x ii. y=x^2 -2x-3 iii. y=12+4x-x^2 iv. y=x^3 +3x^2-5 v. y=x^3-6x^2-15x+8 vi. y=24x-3x^2-x^3

i.y=x^2 -4x

y'=2x-4

increasing when y'>0 at x>2

ii.y=x^2 -2x-3

y'=2x-2

increasing when y'>0 at x>1

iii.y=12+4x-x^2

y'=4-2x

increasing when y'>0 when x<2

iv.y=x^3 +3x^2-5

y'=3x^2+6x

increasing when y'>0 at x<-2 or x>0

v.y=x^3-6x^2-15x+8

y'=3x^2-12x-15

increasing when y'>0 at x<-1 or x>5

vi.y=24x-3x^2-x^3

y'=24-6x-3x^2

increasing when y'>0 at -4<x<>2

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)