Question

Wyznacz współrzędne wierzchołka parAboli:

a)y=4x² -8x+1/3

b)y=x²+6x-100

c)y=x²+x

Answer 1

 

 

Answer 2

a)

y=4x² -8x+1/3

 

a=4, b=-8, c=1/3

p = -b/2a = 8/8=1

q=f(p)=f(1)=4*1²-8*1 + 1/3 = 4-8 + 1/3 = 1/3 - 4 = -3 ²/₃

 

W=(1, -3 ²/₃)

 

b)

y=x²+6x-100

a=1, b=6, c=-100

p=-b/2a=-6/2 = -3

q=f(p)=f(-3)=(-3)²+6*(-3) - 100 = 9-18-100 =-109

W=(-3, -109)

 

c)

y=x²+x

a=1, b=1, c=0

p=-b/2a = -1/2

q=f(p)=f(-1/2) = (-1/2)²-1/2 = 1/4 - 1/2 = 1/4 - 2/4 = -1/4

W=(-1/2, -1/4)