Course Content
第四章:部分分式 Partial Fraction
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第六章:角的形成及单位 Angles and Measurements
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第十三章: 方程组 Simultaneous Equations
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第十五章:二元一次不等式及线性规划 linear inequality in two variables and linear programming
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高中一 | 高级数学
About Lesson
2.4 Graph and Nature of Quadratic Equation 一元二次函数的图像及性质


 
Sketch the following functions, state also their symmetric axis, extreme point, domain and range.
画出下列函数的图像,并写出它们的对称轴,顶点,定义域和值域。
 

[1] y = 2(x - 1)^2 + 1

 

Answer :
x = 1, (1, 1), D = R, R = [1, \infty)

[2] y = (4 - x)(2x + 1)

 

Answer :
x = 1\frac{2}{3}, (1\frac{2}{3}, 101\frac{1}{9}), D = R, R = (-\infty, 10\frac{1}{9}]
[3] y = 2x^2 +5x - 3
Answer :
x = -1\frac{1}{4}, (-1\frac{1}{4} , -6\frac{1}{8}), D = R, R = [-6\frac{1}{8}, \infty)
[4] y = 2x^2 - 3x + 2
Answer :
x = \frac{3}{4} , (\frac{3}{4}, \frac{7}{8}), D = R, R = [\frac{7}{8}, \infty)
[5] y = 1 - 3x - x^2
Answer :
x = -1\frac{1}{2}, (-1\frac{1}{2} , 3\frac{1}{4}), D = R, R = (-\infty, 3\frac{1}{4}]
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