Grafik fungsi kuadrat f(x)=x^2+3x-10 untuk x € R ?

Fungsi Kuadrat


f(x) = x² + 3x - 10

1) Cari titik potong pd sumbu x , ( y = 0)

x² + 3x - 10 = 0
(x + 5)(x - 2) = 0
x = -5 v x = 2
(-5,0) (2,0)

2) Titik potong sumbu y , (x = 0)
y = 0² + 3(0) - 10
y = -10

(0,-10)

3) Cari titik balik

x = -b/2a
= - 3/2(1)
= -3/2

Masukkan k prsamaan
y = ( x + 5)(x - 2)
y = (-3/2 + 5) (-3/2 - 2)
y = (10/2 - 3/2)( -3/2 - 4/2)
y = (7/2)(-7/2)
y = -49/4

(-3/2, -49/4)

Grafik :