y=ax^2のグラフ

放物線のグラフを「点の集まり」という見方から説明します。

比例定数

xは整数

xは .5

グラフ

作成：ラルゴ

a = 0.75 (slider from -3 to 3, step 0.25)
b = -3 (slider from -5 to 5, step 0.25)
c = -1 (slider from -5 to 5, step 0.25)
d = -3.3 (slider from -5 to 4, step 0.05)
p(x) = x ≤ (-4.2)
q(x) = x ≥ 4.2
r(y) = y ≤ (-50.2)
s(y) = y ≥ 50.2
A: ((-4), (16 * a))
A1: ((-4), (16 * a))
A2: ((-3.5), (12.25 * a))
B: ((-3), (9 * a))
B1: ((-3), (9 * a))
B2: ((-2.5), (6.25 * a))
C: ((-2), (4 * a))
C1: ((-2), (4 * a))
C2: ((-1.5), (2.25 * a))
D: (-1, a)
D1: (-1, a)
E = (0, 0)
E1 = (0, 0)
E2: (0.5, (0.25 * a))
F: (1, a)
F1: (1, a)
F2: (1.5, (2.25 * a))
G: (2, (4 * a))
G1: (2, (4 * a))
G2: (2.5, (6.25 * a))
H: (3, (9 * a))
H1: (3, (9 * a))
H2: (3.5, (12.25 * a))
I: (4, (16 * a))
I1: (4, (16 * a))
Ay: y = (16 * a)
By: y = (9 * a)
Cy: y = (4 * a)
Dy: y = a
Fy: y = a
Gy: y = (4 * a)
Hy: y = (9 * a)
Iy: y = (16 * a)
f(x) = If[-4 ≤ x ≤ d,(a * x^(2))]
D2: ((-0.5), (0.25 * a))