Jawaban:

1. y = -2x² - 11x - 24

2.y = ½x² + 2x + 2

3. y = -x² - 6x - 7

Penjelasan dengan langkah-langkah:

1. A= (-3, 0) B= (-8, 0) C= (-4, 8)

yC = a(xC - xA)(xC - xB)

8 = a(-4 - (-3))(-4 - (-8))

8 = a(-1)(4)

8 = -4a

a = -2

y = -2(x + 3)(x + 8)

= -2(x² + 11x + 24)

= -2x² - 11x - 24

2. A= (-2, 0) B= (2, 8)

A = titik puncak (max/minimum)

yB = a(xB - xA)² + yA

8 = a(2 - (-2))² + 0

8 = a(16)

a = 8/16 = ½

y = ½(x + 2)² + 0

= ½(x² + 4x + 4)

= ½x² + 2x + 2

3. P= (-3, 2) A= (1, -14)

yA = a(xA - xP)² + yP

-14 = a(1 - (-3))² + 2

-14 = a(16) + 2

16a = -16

a = -1

y = -1(x + 3)² + 2

= -1(x² + 6x + 9) + 2

= -x² - 6x - 7