(1)求抛物线的解析式及其顶点D的坐标;
(2)直线CD交x轴于点E,过抛物线上在对称轴的右边的点P,作y轴的平行线交x轴于点F,交直线CD于M,使PM=

(3)将抛物线沿对称轴平移,要使抛物线与(2)中的线段EM总有交点,那么抛物线向上最多平移多少个单位长度,向下最多平移多少个单位长度.


同类型试题

y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2


y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2

