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Transformations (id: 94df01a69)

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admin 发表于 2024-6-15 13:44:15 | 显示全部楼层 |阅读模式
本题目来源于试卷: Transformations,类别为 IB数学

[填空题]
Let $f(x)=2 x^{2}-8 x+6$ , for $ x \in \mathbb{R}$ .
1. Write down the value of f(0) .   
2. Solve the equation f(x)=0 .

The function f can be written in the form $f(x)=a(x-h)^{2}+k$ .      
3. Find the values of a, h and k .a =    h =    k =   
4. For the graph of f , write down:
1. the coordinates of the vertex;(a,b) a =    b =   
2. the equation of the axis of symmetry.

The graph of a function g is obtained from the graph of f by a reflection in the x -axis, followed by a translation by the vector $\binom{1}{3}$ . x =   
5. Find g(x) , giving your answer in the form $g(x)=p x^{2}+q x+r $.   




参考答案:
空格1: 6空格2: {1|3}空格3: {1|3}空格4: 2空格5: 2空格6: -2空格7: 2空格8: -2空格9: 2空格10: expression(-2*x^2+12*x-13)


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