Question

Funkcja kwadratowa.

Zapisz w postaci ogólnej:

a) y=3(x-1)^2-7

b) y=3/2(x-4)^2-1/2

c) y=-5(x+3)^2+10

d) y=-1/2(x+1)^2+5

Answer 1

a) y=3(x-1)^2-7

y=3(x²-2x+1)-7

y=3x²-6x-4

---

b) y=3/2(x-4)^2-1/2

y=3/2(x²-8x+16)-1/2

y=3/2 x² - 12x +23,5

---

c) y=-5(x+3)^2+10

y=-5(x²+6x+9)+10

y=-5x²-30x-35

---

d) y=-1/2(x+1)^2+5

y=-1/2(x²+2x+1)+5 y-1/2 x² -x +4,5 

Answer 2

a) y=3(x-1)²-7= 3(x²-2x+1)-7=3x²-6x+3-7=3x²-6x-4

b) y=3/2(x²-8x+16)-1/2 = 3/2x²-12x+23 1/2

c)y=-5(x+3)²+10=-5(x²+6x+9)+10=-5x²-30x-35

d) y=-½(x+1)²+5= -½(x²+2x+1)+5=-½x²-x+4½