Question

Diberikan persamaan parabola y
= 4(x-3)²-2.Tentukam titik puncak,fokus,persamaan direktris,dan sumbu simetri ?

Answer 1

4x²-24x+36
A= 4, B=-2, C= 36

P= -1/4xA
=-1/4x4 = -1

b= -1/2xB
= -1/2x-2 = 1

a= B²- 4C / 4A                        Fokus= (a+p, c) = (-8,75+(-1), 1) = (-9,75, 1)
= (-2)²- 4(36)/ 4x4
=4-144/ 16                              persamaan direktris (y) = -P + b = -1 + 1 = 0
=-87,5