Tentukan nilai a dan b agar grafik fungsi linear y= ax + b memotong grafik fungsi kuadrat y= xkuadrat - 4x + 2 tepat pada titik koordinat yaitu (3, -1)

y1= ax+b , -1 = 3a+b
b = -1-3a

y2 = x²-4x+2

y1 = y2
ax+b = x²-4x+2
x²-4x-ax+2-b = 0
x²-(4+a)x + 2-b = 0
x²-(4+a)x + 2-(-1-3a) = 0
x²-(4+a)x + 3+3a = 0
(-1)²-(4+a)(-1)+3+3a = 0
1 + 4+a +3 + 3a = 0
4a+8 = 0
4a = -8
a = -2

b = -1-3(-2)
= -1+6
= 5

Hp {a = -2 , b = 5,}