Question

tolong dong kak terimakasihhh​

Answer 1

Jawaban:

f(x) = 2x² + 8x + 6

Penjelasan dengan langkah-langkah:

f(x) = ax² + bx + c

karena grafik fungsi f melalui titik K(–2, –2), L(–1, 0), dan M(0, 6) maka

• a(–2)² + b(–2) + c = –2 → 4a – 2b + c = –2 . . . [i]
• a(–1)² + b(–1) + c = 0 → a – b + c = 0 . . . [ii]
• a(0)² + b(0) + c = 6 → c = 6

Anda substitusikan nilai c pada [ii]

a – b + c = 0

a – b + 6 = 0

a – b = –6

a = b – 6 . . . [iii]

substitusikan c = 6 dan [iii] pada [i]

4a – 2b + c = –2

4(b – 6) – 2b + 6 = –2

4b – 24 – 2b + 6 = –2

2b = 16

b = 8

terakhir, anda substitusi nilai b pada [iii]

a = b – 6

a = 8 – 6

a = 2

∴ f(x) = ax² + bx + c → f(x) = 2x² + 8x + 6 ✔️

grafik terlampir.