Tolong jawab ya, harus segera dikumpulkan
Penjelasan dengan langkah-langkah:
1.a
y = 2x² – 5x
persamaan sumbu simetri
x = -b/2a
x = -(-5)/2(2)
x = 5/4
1.b
y = 3x² + 12x
persamaan sumbu simetri
x = -b/2a
x = -12/2(3) = -12/6
x = -2
1.c
y = 8x² – 16x – 1
persamaan sumbu simetri
x = -b/2a
x = -(-16/2(8) = 16/16
x = 1
2.a
y = 6x² + 24x – 19
persamaan sumbu simetri
x = -b/2a
x = -24/2(6) = -24/12
x = -2
subtitusikan nilai x = -2 kepersamaan
y = 6(-2)² + 24(-2) – 19
y = 24 – 48 – 19
y = -43
nilai optimumnya = -43
2.b
y = 2/5x² – 3x + 15
persamaan sumbu simetri
x = -b/2a
x = -(-3)/2(2/5) = 3/(4/5) = 3 * 5/4
x = 15/4
subtitusikan nilai x= 15/4 kepersamaan
y = 2/5(15/4)² – 3(15/4) + 15
y = 2/5(225/16) – 45/4 + 15
y = 45/8 – 45/4 + 15
y = 45/8 – 90/8 + 120/8
y = 75/8
nilai optimumnya = 75/8